Strongly ergodic equivalence relations: spectral gap and type III invariants (Q4968746)

scientific article; zbMATH DE number 7077691

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English	Strongly ergodic equivalence relations: spectral gap and type III invariants	scientific article; zbMATH DE number 7077691

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instance of

scholarly article

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title

Strongly ergodic equivalence relations: spectral gap and type III invariants (English)

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Ergodic Theory and Dynamical Systems

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publication date

9 July 2019

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full work available at URL

https://arxiv.org/abs/1704.07326

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zbMATH Keywords

Maharam extension

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ergodic equivalence relation

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measure spaces

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MaRDI profile type

MaRDI publication profile

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cites work

Continuity properties of measurable group cohomology

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On a tensor product $C^*$-algebra associated with the free group on two generators

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Amalgamated free product type III factors with at most one Cartan subalgebra

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Local spectral gap in simple Lie groups and applications

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An amenable equivalence relation is generated by a single transformation

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A 𝐼𝐼₁ factor with two nonconjugate Cartan subalgebras

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Une classification des facteurs de type ${\rm III}$

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Almost periodic states and factors of type III$_1$

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Outer conjugacy classes of automorphisms of factors

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Classification of injective factors. Cases $\mathrm{II}_1$, $\mathrm{II}_\infty$, $\mathrm{III}_\lambda$, $\lambda\neq 1$

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Ergodic Equivalence Relations, Cohomology, and Von Neumann Algebras. I

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Connes' bicentralizer problem and uniqueness of the injective factor of type $III_ 1$

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Bi-exact groups, strongly ergodic actions and group measure space type III factors with no central sequence

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Fullness and Connes' $\tau$ invariant of type III tensor product factors

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Central sequences in crossed products of full factors

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On non-singular transformations of a measure space. I

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On ergodic flows and the isomorphism of factors

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Amenable actions and almost invariant sets

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Spectral gap characterization of full type III factors

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Group Extensions and Cohomology for Locally Compact Groups. III

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Solid von Neumann algebras.

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A Kurosh-type theorem for type II1 factors

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An example of a solid von Neumann algebra

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A remark on fullness of some group measure space von Neumann algebras

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SOME COMPUTATIONS OF 1-COHOMOLOGY GROUPS AND CONSTRUCTION OF NON-ORBIT-EQUIVALENT ACTIONS

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Asymptotically invariant sequences and an action of SL(2,Z) on the 2- sphere

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Amenability, Kazhdan's property <i>T</i>, strong ergodicity and invariant means for ergodic group-actions

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Une notion de nucléarité en K-théorie (d'après J. Cuntz). (A notion of nuclearity in K-theory (in the sense of J. Cuntz))

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Theory of operator algebras. II

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Theory of operator algebras. III

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Classification of type III Bernoulli crossed products

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Extensions of ergodic group actions

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Q3687381

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Identifiers

zbMATH Open document ID

1417.37047

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Mathematics Subject Classification ID

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10.1017/ETDS.2017.108

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Mathematics(1 entry)

mardi Publication:4968746