Simplicity of C* -Algebras of Minimal Dynamical Systems

DOI10.1112/jlms/s2-18.3.534zbMath0393.46048OpenAlexW1995181470MaRDI QIDQ4176023

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Publication date: 1978

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/jlms/s2-18.3.534

zbMATH Keywords

Measure Preserving TransformationCrossed Products of C*-AlgebrasErgodic HomeomorphismGroup Measure SpaceGroups of AutomorphismsMinimal Dynamical SystemsMinimal HomeomorphismNormalized Invariant Borel MeasureOperators of MultiplicationProper Closed Invariant SetsRohlin's Stack TheoremSimplicity of C*-Algebras

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) General theory of (C^*)-algebras (46L05)

Related Items (12)

Extensions of states of C* -algebras, II ⋮ Discrete magnetic Laplacian ⋮ Dynamical systems associated with crossed products ⋮ Non-associative Ore extensions ⋮ Simple rings and degree maps ⋮ On the Banach \(^{\ast}\)-algebra crossed product associated with a topological dynamical system ⋮ Simplicity of Skew Group Rings of Abelian Groups ⋮ A Nonspectral Dense Banach Subalgebra of the Irrational Rotation Algebra ⋮ Simple infinite-dimensional quotients of the group \(C^{\bigstar}\)-algebras of certain discrete 6-dimensional nilpotent groups ⋮ Dynamics, Wavelets, Commutants and Transfer Operators Satisfying Crossed Product Type Commutation Relations ⋮ Extensions of pure states and projections of norm one ⋮ Cantor spectra of magnetic chain graphs

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