Li, X. (2012) Semigroup C⁎-algebras and amenability of semigroups. Journal of Functional Analysis, 262(10), pp. 4302-4340. (doi: 10.1016/j.jfa.2012.02.020)
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Abstract
We construct reduced and full semigroup C⁎-algebras for left cancellative semigroups. Our new construction covers particular cases already considered by A. Nica and also Toeplitz algebras attached to rings of integers in number fields due to J. Cuntz. Moreover, we show how (left) amenability of semigroups can be expressed in terms of these semigroup C⁎-algebras in analogy to the group case.
| 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: | 02 March 2012 |
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