Hostname: page-component-848d4c4894-4rdrl Total loading time: 0 Render date: 2024-06-21T23:16:33.110Z Has data issue: false hasContentIssue false
  • English
  • Français

Every AF-algebra is Morita equivalent to a graph algebra

Published online by Cambridge University Press:  17 April 2009

Jason Tyler
Jason Tyler
Affiliation:
School of Mathematical and Physical Sciences, University of Newcastle, New South Wales 2308, Australia e-mail: jason.tyler@studentmail.newcastle.edu.au
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

We show how to modify any Bratteli diagram E for an AF-algebra A to obtain a Bratteli diagram KE for A whose graph algebra C*(KE) contains both A and C*(E) as full corners.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 69 , Issue 2 , April 2004 , pp. 237 - 240
Copyright
Copyright © Australian Mathematical Society 2004

References

[1]Bates, T.. Pask, D., Raeburn, I. and Szymański, W., ‘The C*-algebras of row-finite graphs’, New York J. Math. 6 (2000), 309–324.Google Scholar
[2]Davidson, K., C*-algebras by example (American Mathematical Society, Providence R.I., 1996).CrossRefGoogle Scholar
[3]Drinen, D., ‘Viewing AF-algebras as graph algebras’, Proc. Amer. Math. Soc. 128 (1999), 1991–2000.CrossRefGoogle Scholar
[4]Kumjian, A., Pask, D. and Raeburn, I., ‘Cuntz-Krieger algebras of directed graphs’, Pacific J. Math 184 (1998), 161–174.Google Scholar