The fixed-point algebra of tensor-product actions of finite Abelian groups on UHF-algebras

DOI10.1016/0022-1236(83)90077-0zbMath0515.46060OpenAlexW2051454115MaRDI QIDQ1051864

Niels Juul Munch

Publication date: 1983

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(83)90077-0

zbMATH Keywords

tracePontryagin dualityfinite abelian group acting faithfully by tensor-product automorphisms on a UHF-C*-algebrafixed point-algebratensor-product action

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) Duality theorems for locally compact groups (22D35) Automorphisms of selfadjoint operator algebras (46L40)

Cites Work

• A groupoid approach to C*-algebras
• Remarks on the fixed-point algebras of product type actions
• Characterization of inner \(^*\)-automorphisms of \(W^*\)-algebras
• On the fixed point algebra of a UHF algebra under a periodic automorphism of product type
• Crossed products of UHF algebras by product type actions
• Inductive Limits of Finite Dimensional C ∗ -Algebras
• A $\mathrm{II}_1$ factor anti-isomorphic to itself but without involutory antiautomorphisms.
• Unnamed Item

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