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Point spectrum of ergodic Abelian group actions and the corresponding group-measure factors

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Publication:1093857
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DOI10.2140/pjm.1985.119.381zbMath0629.46060OpenAlexW2007262789MaRDI QIDQ1093857

Judith A. Packer

Publication date: 1985

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1985.119.381


zbMATH Keywords

pure point spectrumcocyclemaximal abelian subalgebraCartan subalgebrahyperfinite factorcrossed product of a von Neumann algebra by an action of a discrete abelian groupergodic Abelian group actionsuncountably many Cartan subalgebras of the hyperfinite factor, no two of which are conjugate by inner automorphisms


Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) Classifications of (C^*)-algebras (46L35)


Related Items

Non-classification of Cartan subalgebras for a class of von Neumann algebras ⋮ Quasinormalizers in crossed products of von Neumann algebras ⋮ Maximal abelian subalgebras of the hyperfinite factor, entropy and ergodic theory ⋮ A class of II\(_{1}\) factors with many non conjugate Cartan subalgebras ⋮ Ergodic theory and maximal abelian subalgebras of the hyperfinite factor ⋮ On conjugacy of subalgebras in graph C*-algebras. II



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