Li, X. (2016) Semigroup C*-algebras of ax + b-semigroups. Transactions of the American Mathematical Society, 368(6), pp. 4417-4437. (doi: 10.1090/tran/6469)
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Abstract
We study semigroup C*-algebras of ax+b-semigroups over integral domains. The goal is to generalize several results about C*-algebras of ax+b-semigroups over rings of algebraic integers. We prove results concerning K-theory and structural properties like the ideal structure or pure infiniteness. Our methods allow us to treat ax+b-semigroups over a large class of integral domains containing all noetherian, integrally closed domains and coordinate rings of affine varieties over infinite fields.
Item Type: | Articles |
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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: | Transactions of the American Mathematical Society |
Publisher: | American Mathematical Society |
ISSN: | 0002-9947 |
ISSN (Online): | 1088-6850 |
Published Online: | 15 September 2015 |
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