A new approach to recent constructions of C*-algebras from modular index theory

Li, X. (2015) A new approach to recent constructions of C*-algebras from modular index theory. Journal of Functional Analysis, 269(3), pp. 841-864. (doi: 10.1016/j.jfa.2014.12.015)

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Abstract

We present a new approach to C* -algebras recently constructed in the context of modular index theory by Carey, Phillips, Putnam and Rennie. It turns out that their constructions can be identified with full corners of ideals in semigroup C* -algebras. This new point of view leads to a systematic analysis of these algebras and their canonical maximal abelian subalgebras.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Li, Professor Xin
Authors: Li, X.
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Journal of Functional Analysis
Publisher:Elsevier
ISSN:0022-1236
ISSN (Online):1096-0783
Published Online:12 January 2015

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