Covariant Representations of C*-algebras and their Compact Automorphism\n Groups

2011/04/10 by Firuz Kamalov, Kamalov, Firuz
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Noncommutative and Quantum Gravity Theories #Operator Algebras (math.OA)

paper · pdf · doi:10.48550/arxiv.1104.1810

openalex publication_date 2011/04/10 · openalex created_date 2022/09/10 · openalex updated_date 2026/07/28

Abstract

Let G be a compact group. Let (X,G) be a standard Borel G-measure space. We\nshow that the group action on (X, G) is transitive if and only if it is\nergodic. Using this result, we show that every irreducible covariant\nrepresentation of a C*-dynamical system (A, G) is induced from a stability\ngroup. In addition, we show that (A, G) satisfies strong-EHI.\n

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