Strongly ergodic actions have local spectral gap

DOI10.1090/PROC/14034zbMath1393.37004arXiv1707.00438OpenAlexW2963780101MaRDI QIDQ4577163

Amine Marrakchi

Publication date: 17 July 2018

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

Full work available at URL: https://arxiv.org/abs/1707.00438

zbMATH Keywords

spectral gapgroup actionmaximality argument

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) General theory of von Neumann algebras (46L10) Ergodic theorems, spectral theory, Markov operators (37A30)

Related Items (5)

Asymptotic expansion in measure and strong ergodicity ⋮ A Markovian and Roe-algebraic approach to asymptotic expansion in measure ⋮ Fullness of crossed products of factors by discrete groups ⋮ On the structure of asymptotic expanders ⋮ Stability of products of equivalence relations

Cites Work

• An inner amenable group whose von Neumann algebra does not have property Gamma
• Classification of injective factors. Cases \(\mathrm{II}_1\), \(\mathrm{II}_\infty\), \(\mathrm{III}_\lambda\), \(\lambda\neq 1\)
• Homogeneity of the state space of factors of type \(III_1\)
• Spectral gap characterization of full type III factors
• Local spectral gap in simple Lie groups and applications
• Property Γ and Inner Amenability

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