Covariant representations of C*-dynamical systems with compact groups

Kamalov, Firuz2022-01-312022-01-3120132013Kamalov, 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.2011jul08.191203794024http://dx.doi.org/10.7900/jot.2011jul08.1912http://hdl.handle.net/20.500.12519/501This 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.2011jul08.1912Let (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.enPermission to reuse abstract has been secured from the author, Dr. Firuz Kamalov.Compact groupCrossed productInduced representationIrreducible representationStrong-EHICovariant representations of C*-dynamical systems with compact groupsArticleCopyright : © THETA, 2013.