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Ergodic group theory (Q5039592)

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scientific article; zbMATH DE number 7595411

Language	Label	Description	Also known as
English	Ergodic group theory	scientific article; zbMATH DE number 7595411

Statements

scholarly article

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Ergodic group theory (English)

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Sugaku Expositions

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publication date

30 September 2022

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zbMATH Keywords

ergodic theory on groups

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sofic entropy theory

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measure-preserving transformations

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1090/suga/470

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Integrable measure equivalence and rigidity of hyperbolic lattices

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Operator-algebraic superridigity for \(\mathrm{SL}_{n}(\mathbb Z)\), \(n \geq 3\)

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A measure-conjugacy invariant for free group actions

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Measure conjugacy invariants for actions of countable sofic groups

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A BRIEF INTRODUCTION TO SOFIC ENTROPY THEORY

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Groups with the Haagerup property. Gromov's a-T-menability

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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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An amenable equivalence relation is generated by a single transformation

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Measure space automorphisms, the normalizers of their full groups, and approximate finiteness

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Stabilizers of ergodic actions of lattices and commensurators

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On Groups of Measure Preserving Transformations. II

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Transformation groups and \(C^ *\)-algebras

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Orbit structure and countable sections for actions of continuous groups

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

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A Course in Abstract Harmonic Analysis

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Gromov's measure equivalence and rigidity of higher rank lattices

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Orbit equivalence rigidity

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Mostow-Margulis rigidity with locally compact targets

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A survey of Measured Group Theory

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Orbit Equivalence and Measured Group Theory

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Type I \(C^ *\)-algebras

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An example of a non nuclear C*-algebra, which has the metric approximation property

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Connes' bicentralizer problem and uniqueness of the injective factor of type \(III_ 1\)

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Reconstruction of a factor from measures on Takesaki's unitary equivalence relation

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On some extension properties of von Neumann algebras

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A class of groups for which every action is W\(^\ast\)-superrigid

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Classification and rigidity for von Neumann algebras

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RIGIDITY FOR VON NEUMANN ALGEBRAS

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Connection of the dual space of a group with the structure of its closed subgroups

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Measure equivalence rigidity of the mapping class group

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Rigidity of amalgamated free products in measure equivalence

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Automorphisms of complexes of curves on punctured spheres and on punctured tori

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On constructing non-\(^ *\)isomorphic hyperfinite factors of type III

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Automorphisms of the complex of curves

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Imprimitivity for Representations of Locally Compact Groups I

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Induced representation of locally compact groups. I

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Borel Structure in Groups and Their Duals

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Unitary representations of group extensions. I

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Ergodic theory and virtual groups

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Orbit equivalence rigidity and bounded cohomology

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Strong Rigidity of Locally Symmetric Spaces. (AM-78)

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On rings of operators

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On rings of operators. IV

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Newton’s Laws and Coin Tossing

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Ergodic theory of amenable group actions. I: The Rohlin lemma

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On a class of II<sub xmlns:m="http://www.w3.org/1998/Math/MathML" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">1</sub> factors with at most one Cartan subalgebra, II

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Character rigidity for special linear groups.

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On a class of type \(\text{II}_1\) factors with Betti numbers invariants

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Group measure space decomposition of \(\text{II}_{1}\) factors and \(\text W^{*}\)-superrigidity

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Nontransitive quasi-orbits in Mackey's analysis of group extensions

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\(C^*\)-algebras and \(W^*\)-algebras.

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Metric Spaces and Positive Definite Functions

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Two finite, non‐hyperfinite, non‐isomorphic factors

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Automorphisms of Finite Factors

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On the unitary equivalence among the components of decompositions of representations of involutive Banach algebras and the associated diagonal algebras

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Buildings of spherical type and finite BN-pairs

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Über unitäre Darstellungen abzählbarer, diskreter Gruppen

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Rigidity for von Neumann algebras and their invariants

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Strong rigidity for ergodic actions of semisimple Lie groups

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Groups generating transversals to semisimple Lie group actions

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Identifiers

10.1090/suga/470

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:5039592

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