The isomorphism problem for semigroup C*-algebras of right-angled Artin monoids

Eilers, S., Li, X. and Ruiz, E. (2016) The isomorphism problem for semigroup C*-algebras of right-angled Artin monoids. Documenta Mathematica, 21, pp. 309-343.

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Semigroup C*-algebras for right-angled Artin monoids were introduced and studied by Crisp and Laca. In the paper at hand, we are able to present the complete answer to their question of when such C*-algebras are isomorphic. The answer to this question is presented both in terms of properties of the graph defining the Artin monoids as well as in terms of classification by K-theory, and is obtained using recent results from classification of non-simple C*-algebras. Moreover, we are able to answer another natural question: Which of these semigroup C*-algebras for right-angled Artin monoids are isomorphic to graph algebras? We give a complete answer, and note the consequence that many of the C*-algebras under study are semiprojective.

Item Type:Articles
Glasgow Author(s) Enlighten ID:Li, Professor Xin
Authors: Eilers, S., Li, X., and Ruiz, E.
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Documenta Mathematica
Publisher:Deutsche Mathematiker Vereinigung
ISSN (Online):1431-0643
Copyright Holders:Copyright © 2016 The Authors
First Published:First published in Documenta Mathematica 21: 309-343
Publisher Policy:Reproduced in accordance with the publisher copyright policy

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