We use cookies to distinguish you from other users and to provide you with a better experience on our websites. Close this message to accept cookies or find out how to manage your cookie settings.
To save content items to your account,
please confirm that you agree to abide by our usage policies.
If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account.
Find out more about saving content to .
To save content items to your Kindle, first ensure no-reply@cambridge.org
is added to your Approved Personal Document E-mail List under your Personal Document Settings
on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part
of your Kindle email address below.
Find out more about saving to your Kindle.
Note you can select to save to either the @free.kindle.com or @kindle.com variations.
‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi.
‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.
In this paper we give a formula for the $K$-theory of the $C^{\ast }$-algebra of a weakly left-resolving labelled space. This is done by realizing the $C^{\ast }$-algebra of a weakly left-resolving labelled space as the Cuntz–Pimsner algebra of a $C^{\ast }$-correspondence. As a corollary, we obtain a gauge-invariant uniqueness theorem for the $C^{\ast }$-algebra of any weakly left-resolving labelled space. In order to achieve this, we must modify the definition of the $C^{\ast }$-algebra of a weakly left-resolving labelled space. We also establish strong connections between the various classes of $C^{\ast }$-algebras that are associated with shift spaces and labelled graph algebras. Hence, by computing the $K$-theory of a labelled graph algebra, we are providing a common framework for computing the $K$-theory of graph algebras, ultragraph algebras, Exel–Laca algebras, Matsumoto algebras and the $C^{\ast }$-algebras of Carlsen. We provide an inductive limit approach for computing the $K$-groups of an important class of labelled graph algebras, and give examples.
At some point during the 1070s the archbishop of Canterbury, Lanfranc, wrote to Herfast (bishop of East Anglia 1070–84/5) in trenchant terms. Much of his letter criticized the bishop's lifestyle – ‘Give up the dicing (to mention nothing worse) and the world's amusements in which you are said to idle away the entire day’ – and the company he kept: ‘Banish the monk Hermann, whose life is notorious for its many faults, from your society and your household completely.’ Instead, Lanfranc told his bishop to read Scripture and above all to master the decrees of the Roman pontiffs and the canons of the holy councils, to ‘discover what you do not know’ and ‘ensure that you hold no opinion that is at variance with your mother church’. The significance of that advice finds context in the opening of the letter, which relates to the affairs of the abbey of Bury St Edmunds. After a conventional greeting, where Lanfranc wished Bishop Herfast might be humble in wisdom and of sober understanding, the archbishop began by observing that Berard, a cleric of Abbot Baldwin of Bury, had delivered a previous letter from the Archbishop to Bishop Herfast. He went on:
As [Berard] himself affirmed to me later, you made a coarse joke about it; you uttered cheap and unworthy remarks about me in the hearing of many; and you declared on oath that you would give me no assistance in that matter. There will be another time and another place to speak of those things. But my immediate instructions are these: that you lay no claim to the property of St Edmund unless you can give indisputable proof that it was claimed by your predecessors and that you discharge the aforesaid Berard without any fine or threat of punishment, until the case comes into our own court and can be rightly concluded according to canon law and our own ruling as judge.
There are three types of epilepsy: analempsia, epilempsia, and catalempsia. Analempsia has that name because it deprives the sacred parts of the head of sensation, and it arises either from neglect of the stomach, or from an excess of food or drink, or from drinking cold things, or from luxury … Epilempsia has that name from seizure of the mind and senses, and when they are besieged the body is also possessed, for it is a serious and slow affliction. Some call this sickness comitialis, others the holy affliction, and the Greeks call it geronoson … Catalempsia is epilepsy accompanied by fever … the sickness of cataleptics starts with the feet or lower legs. When they feel the advancing pain and catarrh, it comes from an excess of blood, or rather, choler ferments in the confines of the stomach, with no natural exit, whence it burdens the head and injures the senses.
This explanation of the causes and effects working within the human body is found in an eleventh-century medical text from Salerno, the Passionarius (‘Book of Diseases’) attributed to the physician Gariopontus. This medical text survives in sixty-five medieval manuscripts, one of which is now London, British Library, MS Royal 12. C. xxiv. Michael Gullick has identified the script of this manuscript as that of an early twelfth-century scribe of Bury St Edmunds, demonstrating that this text was known at Bury in the generation after the physician-abbot Baldwin.
The notion that the history of the abbey of Bury St Edmunds after the Norman Conquest was unusual is not new. William of Malmesbury in his Gesta pontificum described St Edmund as ‘the first of the saints of the country’. And in the Gesta regum he wrote that the saint's abbey was remarkable both for its capacity to attract patronage and to repulse tax-collectors:
By these arts he has so engaged the loyalty of all the inhabitants of Britain that anyone thinks it a privilege to enrich his monastery by even a penny. Even kings, the lords of other men, rejoice to call themselves his servants, and place their royal crown at his service, redeeming it at a great price if they wish to use it. The tax-collectors who run riot in other places, making no distinction between right and wrong, are on their knees before St Edmund, and stay their legal processes at his boundary-ditch, knowing from experience how many have suffered who have thought fit to persist.
A monk of the great Ile-de-France abbey of Saint-Denis, Abbot Baldwin of Bury St Edmunds (1065–97) was the one non-Englishman to be an abbot in England on the day that Harold lost the Battle of Hastings. He had first visited England well before his appointment to Bury in 1065 and been treated with great favour by King Edward.
The medieval persona of St Edmund, as far as it can be recovered, is generally recognised to have resided in Abbo of Fleury's Passio sancti Eadmundi. Written at the request of the monks of Ramsey at the end of the tenth century, this text was swiftly adopted by the Benedictine community at Bury, where it appears to have been recorded in a booklist from the 1040s, and from whose scribes three eleventh-century copies survive. The Passio was undoubtedly a creative stimulus for the local community, for it gave rise both to the famous cycle of illuminations in the twelfth-century illustrated libellus, now New York, Pierpont Morgan Library, MS M. 736, and to an important collection of eleventh-century chants for St Edmund's feast, which forms the basis of this chapter. Even Bury's late eleventh-century hagiographer Herman owed a debt to Abbo: in alluding to the story of the Passio, commenting on the general shortage of other available accounts, and apparently fashioning his own Miracula as a continuation of that narrative. One might be forgiven for assuming, therefore, that the St Edmund portrayed by Abbo's Passio – the humble, peace-loving figure characterised by Antonia Gransden as a model of Christian kingship – was the very same St Edmund known to the monks of Bury.
In comparison with the large number of manuscripts at Saint-Denis from the Carolingian period and the twelfth century, the sources for the eleventh century, the time of Abbot Baldwin of Bury St Edmunds, are meagre. This is one indication that the abbey suffered severe losses in the tenth century at the hands of the Normans. It lost many of its domains, the fabric of the church seems to have deteriorated greatly, and the performance of the liturgy seems to have become lax.
Abbot Suger, writing in the 1140s, saw the division of the Carolingian empire under the sons of the son of Louis the Pious, that is, Charles the Bald, as the major reason for Saint-Denis's losses. In addition to the problem the monks faced in recovering their illustrious past, the monastery encountered two major challenges to its prestige in the first half of the eleventh century. First of all, the monks at Saint Emmeram, Regensburg, claimed that they had the relics of St Denis. In response to this, the saint's body was exhumed in 1053, and a new feast, the Detection of Saint Denis, was celebrated on 9 June to commemorate this event. Secondly, the bishop of Paris challenged Saint-Denis's claims of exemption from episcopal control. So it is perhaps not surprising that the extant manuscripts and charters from the eleventh century reflect both of these topics: charters were forged to prove the monastery's independence from episcopal control, and manuscripts were created for its new liturgical celebrations.
An accurate picture of the architectural history of Abbot Baldwin's church began to emerge already in the middle of the nineteenth century, as for example with Graham Hills's study of 1865. The first person to make sense of the remains on the site as a whole was Arthur Whittingham, with the research he published in the early 1950s, and many aspects of the subject were investigated further at the conference of the British Archaeological Association of 1994, organized by Antonia Gransden. In the present essay I want to examine three things: the contrast between the Norman church and its Anglo-Saxon predecessors; how relations between the abbey and the diocese in the late eleventh century may be reflected in changes in the plan of the church; and the relationship between the plans of the abbey and the town.
The Contrast between the Norman Church and its Anglo-Saxon Predecessors
According to Abbo of Fleury, when St Edmund's body arrived in Beodricesworth (before c. 950), the faithful of the vill built a very large wooden church to receive it. Nothing is recorded of its shape. Cnut and Emma supported the building of a church which was begun about 1020 and consecrated in 1031 or 1032, the new work, according to Herman, being carried out in stone.
O Mars god of war, who curbs kingdoms by the sword,
who demands bloodied corpses of young men,
and men's blood poured out in mass slaughter,
what was your intent; how great your thirst for evil,
when in their midst you ordered savage troops to battle?
In the late 1060s, a cleric, possibly the bishop of Amiens, wrote a poem on the Norman Conquest. It represented William the Conqueror as a hero worthy of Troy, rightfully claiming a kingdom; but it also depicted him as a warrior revelling in gore, enthralled to the god Mars. The poet told of how venerable age and beautiful youth lay mingled in death on the battlefield and how William camped at Dover where the vanquished came to seek terms and kiss his feet, ‘just as flies … throng in swarms to sores full of blood’. Blood was impure in the eyes of the religious. A drop of blood was enough to desecrate a sanctuary. The taint of blood from intercourse rendered a priest unfit to say Mass, and to shed the blood of a Christian was to shed the blood of Christ. The mordant analogy of those sores full of blood – the Normans – marching upon Westminster, where their leader would be sacramentally anointed, should have troubled the conscience of the king the poet pretended to flatter. His subtext betrays horror and the expectation of penance. Comparable pressure came from the Norman bishops who imposed penance on William and his troops.
Some ten years ago I identified an eleventh-century Continental medical manuscript in the British Library (Sloane 1621) as a hitherto unrecognised Bury book. It is a small book of several contemporary parts that is interesting for its content, its many contemporary, near-contemporary, and early twelfth-century additions by Continental and English scribes, and the likelihood that it should be linked to Baldwin, abbot of Bury between 1065 and 1097. Its content is discussed by Debby Banham in the following chapter, and therefore what follows is concerned mostly with the physical and scribal features of the manuscript, and the conclusions concerning its origin and provenance that can be drawn from them.
At the beginning of Sloane 1621 is a preliminary quire, formerly of four leaves but now with its first leaf lost (fols 2–4), of slightly later date than what follows. The quire contains medical prayers and three short texts concerning the monochord in two Anglo-Continental hands, probably of the early twelfth century, the second of which also made an addition on the last leaf of the manuscript proper (fol. 111r). There is little reason to doubt that the quire was an early addition to the manuscript, for its format (arrangement and number of lines) suggests that it was made with the intention to put it before what follows. At the top of what is now the opening page (fol. 2r) is a one-word twelfth-century title repeated by the same scribe (antidotarius), and this is an adequate description of the content of the manuscript proper, suggesting that the preliminary quire was in its present position by at least 1200, if not before.
Bury St Edmunds is noteworthy in so many ways: in preserving the cult and memory of the last East Anglian king, in the richness of its archives, and not least in its role as a mediator of medical texts and studies. All these aspects, and more, are amply illustrated in this collection, by specialists in their fields. The balance of the whole work, and the care taken to place the individual topics in context, has resulted in a satisfying whole, which places Abbot Baldwin and his abbey squarely in the forefront of eleventh-century politics and society. Professor Ann Williams. The abbey of Bury St Edmunds, by 1100, was an international centre of learning, outstanding for its culting of St Edmund, England's patron saint, who was known through France and Italy as a miracle worker principally, but also as a survivor, who had resisted the Vikings and the invading king Swein and gained strength after 1066. Here we journey into the concerns of his community as it negotiated survival in the Anglo-Norman empire, examining, on the one hand, the roles of leading monks, such as the French physician-abbot Baldwin, and, on the other, the part played by ordinary women of the vill. The abbey of Bury provides an exceptionally rich archive, including annals, historical texts, wills, charters, and medical recipes. The chapters in this volume, written by leading experts, present differing perspectives on Bury's responses to conquest; reflecting the interests of the monks, they cover literature, music, medicine, palaeography, and the history of the region itself. Dr Tom Licence is Senior Lecturer in Medieval History and Director of the Centre of East Anglian Studies at the University of East Anglia. Contributors: Debbie Banham, David Bates, Eric Fernie, Sarah Foot, Michael Gullick, Tom Licence, Henry Parkes, Véronique Thouroude, Elizabeth van Houts, Thomas Waldman, Teresa Webber
We characterise the topological spaces which arise as the primitive ideal spaces of the Cuntz–Krieger algebras of graphs satisfying condition (K): directed graphs in which every vertex lying on a loop lies on at least two loops. We deduce that the spaces which arise as ${\rm Prim}\;C^*(E)$ are precisely the spaces which arise as the primitive ideal spaces of AF-algebras. Finally, we construct a graph $\wt{E}$ from E such that $C^*(\wt{E})$ is an AF-algebra and ${\rm Prim}\;C^*(E)$ and ${\rm Prim}\;C^*(\wt{E})$ are homeomorphic.
This paper explores the effect of various graphical constructions upon the associated graph C*-algebras. The graphical constructions in question arise naturally in the study of flow equivalence for topological Markov chains. We prove that out-splittings give rise to isomorphic graph algebras, and in-splittings give rise to strongly Morita equivalent C*-algebras. We generalize the notion of a delay as defined in (D. Drinen, Preprint, Dartmouth College, 2001) to form in-delays and out-delays. We prove that these constructions give rise to Morita equivalent graph C*-algebras. We provide examples which suggest that our results are the most general possible in the setting of the C*-algebras of arbitrary directed graphs.