Covariant representations of C*-dynamical systems with compact groups

dc.contributor.authorKamalov, Firuz
dc.date.accessioned2022-01-31T15:51:07Z
dc.date.available2022-01-31T15:51:07Z
dc.date.copyright2013
dc.date.issued2013
dc.descriptionThis 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.2011jul08.1912en_US
dc.description.abstractLet (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.citationKamalov, 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.2011jul08.1912en_US
dc.identifier.issn03794024
dc.identifier.urihttp://dx.doi.org/10.7900/jot.2011jul08.1912
dc.identifier.urihttp://hdl.handle.net/20.500.12519/501
dc.language.isoenen_US
dc.publisherThe Theta Foundationen_US
dc.relationAuthors Affiliations : Kamalov, F., Department of Mathematics, Canadian University of Dubai, Dubai, United Arab Emirates
dc.relation.ispartofseriesJournal of Operator Theory;Vol. 70, no.1
dc.rightsPermission to reuse abstract has been secured from the author, Dr. Firuz Kamalov.
dc.rights.holderCopyright : © THETA, 2013.
dc.subjectCompact groupen_US
dc.subjectCrossed producten_US
dc.subjectInduced representationen_US
dc.subjectIrreducible representationen_US
dc.subjectStrong-EHIen_US
dc.titleCovariant representations of C*-dynamical systems with compact groupsen_US
dc.typeArticleen_US

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