Covariant representations of C*-dynamical systems with compact groups

Date
2013
Authors
Kamalov, Firuz
Journal Title
Journal ISSN
Volume Title
Publisher
The Theta Foundation
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.
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
Keywords
Compact group, Crossed product, Induced representation, Irreducible representation, Strong-EHI
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