Cuntz, J., Echterhoff, S. and Li, X. (2015) On the K-theory of the C*-algebra generated by the left regular representation of an Ore semigroup. Journal of the European Mathematical Society, 17(3), pp. 645-687. (doi: 10.4171/JEMS/513)
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Abstract
We compute the K-theory of C*-algebras generated by the left regular representation of left Ore semigroups satisfying certain regularity conditions. Our result describes the K-theory of these semigroup C*-algebras in terms of the K-theory for the reduced group C*-algebras of certain groups which are typically easier to handle. Then we apply our result to specific semigroups from algebraic number theory.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Li, Professor Xin |
| Authors: | Cuntz, J., Echterhoff, S., and Li, X. |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | Journal of the European Mathematical Society |
| Publisher: | European Mathematical Society |
| ISSN: | 1435-9855 |
| ISSN (Online): | 1435-9863 |
| Published Online: | 10 March 2015 |
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