Covariant representations of C*-dynamical systems with compact groups
dc.contributor.author | Kamalov, Firuz | |
dc.date.accessioned | 2022-01-31T15:51:07Z | |
dc.date.available | 2022-01-31T15:51:07Z | |
dc.date.copyright | 2013 | |
dc.date.issued | 2013 | |
dc.description | This article is not available at CUD collection. The version of scholarly record of this article paper is published in Journal of Operator Theory (2013), available online at: http://dx.doi.org/10.7900/jot.2011jul08.1912 | en_US |
dc.description.abstract | Let (A, G, σ) be a C*-dynamical system, where G is compact. We show that every irreducible covariant representation (π,U) of (A, G, σ) is induced from an irreducible covariant representation (π0,U0) of a subsystem (A, G0, σ) such that π0 is a factor representation. We show that if (π,U) is an irreducible covariant representation of (A, GP, σ) with ker π = P, then π is a homogenous representation. Hence, (A, G, σ) satisfies the strong-EHI property. © THETA, 2013. | en_US |
dc.identifier.citation | Kamalov, F. (2013). Covariant representations of C*-dynamical systems with compact groups. Journal of Operator Theory, 70(1), 259-272. https://doi.org/10.7900/jot.2011jul08.1912 | en_US |
dc.identifier.issn | 03794024 | |
dc.identifier.uri | http://dx.doi.org/10.7900/jot.2011jul08.1912 | |
dc.identifier.uri | http://hdl.handle.net/20.500.12519/501 | |
dc.language.iso | en | en_US |
dc.publisher | The Theta Foundation | en_US |
dc.relation | Authors Affiliations : Kamalov, F., Department of Mathematics, Canadian University of Dubai, Dubai, United Arab Emirates | |
dc.relation.ispartofseries | Journal of Operator Theory;Vol. 70, no.1 | |
dc.rights | Permission to reuse abstract has been secured from the author, Dr. Firuz Kamalov. | |
dc.rights.holder | Copyright : © THETA, 2013. | |
dc.subject | Compact group | en_US |
dc.subject | Crossed product | en_US |
dc.subject | Induced representation | en_US |
dc.subject | Irreducible representation | en_US |
dc.subject | Strong-EHI | en_US |
dc.title | Covariant representations of C*-dynamical systems with compact groups | en_US |
dc.type | Article | en_US |