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SIMPLICITY OF TWISTED C*-ALGEBRAS OF TOPOLOGICAL HIGHER-RANK GRAPHS

Part of: Selfadjoint operator algebras

Published online by Cambridge University Press:  13 March 2020

BECKY ARMSTRONG Open the ORCID record for BECKY ARMSTRONG [Opens in a new window]
BECKY ARMSTRONG*
Affiliation:
School of Mathematics and Statistics, University of Sydney, Camperdown, NSW 2006, Australia email becky.armstrong@sydney.edu.au
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Abstract

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Keywords

C*-algebrasimplicitytopological higher-rank graphgroupoid

MSC classification

Primary: 46L05: General theory of $C^*$-algebras
Type
Abstracts of Australasian PhD Theses
Information
Bulletin of the Australian Mathematical Society , Volume 101 , Issue 3 , June 2020 , pp. 512 - 513
Copyright
© 2020 Australian Mathematical Publishing Association Inc.

Footnotes

Thesis submitted to the University of Sydney in June 2019; degree approved on 23 August 2019; supervisors Nathan Brownlowe and Aidan Sims.

References

Brown, J. H., Nagy, G., Reznikoff, S. and Williams, D. P., ‘Cartan subalgebras in C ∗ -algebras of Hausdorff étale groupoids’, Integral Equations Operator Theory 85(1) (2016), 109–126.CrossRefGoogle Scholar
Kumjian, A., Pask, D. and Sims, A., ‘Homology for higher-rank graphs and twisted C ∗ -algebras’, J. Funct. Anal. 263(6) (2012), 1539–1574.CrossRefGoogle Scholar
Kumjian, A., Pask, D. and Sims, A., ‘On the K-theory of twisted higher-rank graph C ∗ -algebras’, J. Math. Anal. Appl. 401(1) (2013), 104–113.CrossRefGoogle Scholar
Kumjian, A., Pask, D. and Sims, A., ‘On twisted higher-rank graph C ∗ -algebras’, Trans. Amer. Math. Soc. 367(7) (2015), 5177–5216.CrossRefGoogle Scholar
Kumjian, A., Pask, D. and Sims, A., ‘Simplicity of twisted C ∗ -algebras of higher-rank graphs and crossed products by quasifree actions’, J. Noncommut. Geom. 10(2) (2016), 515–549.CrossRefGoogle Scholar