Type I orbits in the pure states of a \(C^ *\)-dynamical system

DOI10.2977/prims/1195176543zbMath0633.46062OpenAlexW1482098502MaRDI QIDQ1096144

Akitaka Kishimoto

Publication date: 1987

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195176543

zbMATH Keywords

crossed productlocally compact abelian grouprelative commutantGNS representationfaithful continuous actionGroups of automorphisms on \(C^ *\) algebrasinvariant pure stateprime \(C^ *\)-algebra

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) States of selfadjoint operator algebras (46L30) Automorphisms of selfadjoint operator algebras (46L40)

Related Items

A Rohlin property for one-parameter automorphism groups, A weak approximate innerness for abelian actions on \(C^*\)-algebras, \(C^\ast\)-crossed products by \(\mathbb R\). II, APPROXIMATELY INNER FLOWS ON SEPARABLE C*-ALGEBRAS

Cites Work

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• Embedding product type actions into C *-dynamical systems
• Quasi-product actions of a compact abelian group on a \(C^*\)-algebra
• Outer automorphisms and reduced crossed products of simple C*-algebras
• Outer conjugacy classes of automorphisms of factors