Property T and amenable transformation group C∗-algebras
| dc.contributor.author | Kamalov, Firuz | |
| dc.date.accessioned | 2020-02-17T08:02:21Z | |
| dc.date.available | 2020-02-17T08:02:21Z | |
| dc.date.copyright | 2014 | en_US |
| dc.date.issued | 2014 | |
| dc.description | This article is not available at CUD collection. The version of scholarly record of this Article is published in Canadian Mathematical Bulletin (2014), available online at: https://doi.org/10.4153/CMB-2014-006-5. | en_US |
| dc.description.abstract | It is well known that a discrete group that is both amenable and has Kazhdan's Property T must be finite. In this note we generalize this statement to the case of transformation groups. We show that if G is a discrete amenable group acting on a compact Hausdorff space X, then the transformation group C∗-algebra C∗(X; G) has Property T if and only if both X and G are finite. Our approach does not rely on the use of tracial states on C∗(X; G). Copyright © 2014 Canadian Mathematical Society. | en_US |
| dc.identifier.citation | Kamalov, F. (2014). Property T and amenable transformation group C∗-algebras. Canadian Mathematical Bulletin, 58(1), 110–114. https://doi.org/10.4153/CMB-2014-006-5 | en_US |
| dc.identifier.issn | 00084395 | |
| dc.identifier.uri | http://dx.doi.org/10.4153/CMB-2014-006-5 | |
| dc.identifier.uri | http://hdl.handle.net/20.500.12519/143 | |
| dc.language.iso | en | en_US |
| dc.publisher | Canadian Mathematical Society | en_US |
| dc.relation | Author Affiliation: Kamalov, F., Mathematics Department, Canadian University of Dubai, Dubai, United Arab Emirates | |
| dc.relation.ispartofseries | Canadian Mathematical Bulletin;Vol. 58, no. 1 | |
| dc.rights | Permission to reuse the abstract has been secured from Canadian Mathematical Society. | |
| dc.rights.holder | Copyright : 2014 Canadian Mathematical Society. | |
| dc.subject | Amenable | en_US |
| dc.subject | C∗-algebras | en_US |
| dc.subject | Property T | en_US |
| dc.subject | Transformation group | en_US |
| dc.title | Property T and amenable transformation group C∗-algebras | en_US |
| dc.type | Article | en_US |