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
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