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Poisson boundaries of II<sub>1</sub> factors (Q5041006)

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scientific article; zbMATH DE number 7603021

Language	Label	Description	Also known as
English	Poisson boundaries of II<sub>1</sub> factors	scientific article; zbMATH DE number 7603021

Statements

scholarly article

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Poisson boundaries of II<sub>1</sub> factors (English)

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Compositio Mathematica

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publication date

18 October 2022

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full work available at URL

https://arxiv.org/abs/2009.11787

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zbMATH Keywords

von Neumann algebras

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Poisson boundaries

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MaRDI profile type

MaRDI publication profile

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Super-rigidity and non-linearity for lattices in products

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Factor and normal subgroup theorems for lattices in products of groups

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An Index Theory For Quantum Dynamical Semigroups

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Kolmogorov's existence theorem for Markov processes in \(C^*\) algebras

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Markov dilations of nonconservative dynamical semigroups and a quantum boundary theory

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TENSOR PRODUCT SYSTEMS OF HILBERT MODULES AND DILATIONS OF COMPLETELY POSITIVE SEMIGROUPS

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Pure states on O_d

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Continuous bounded cohomology and applications to rigidity theory

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Rigidity results for von Neumann algebras arising from mixing extensions of profinite actions of groups on probability spaces

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A Schwarz inequality for positive linear maps on C\(^*\)-algebras

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Injectivity and operator spaces

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Extensions of derivations II.

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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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Property T for von Neumann Algebras

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Stabilizers of ergodic actions of lattices and commensurators

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Finitely correlated pure states

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Noncommuting Random Products

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A Poisson formula for semi-simple Lie groups

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Weak mixing properties for non-singular actions

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Non-commutative Poisson boundaries and compact quantum group actions

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$E_0$-semigroups: around and beyond Arveson's work

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Strongly approximately transitive group actions, the Choquet-Deny theorem, and polynomial growth

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Strong approximate transitivity, polynomial growth, and spread out random walks on locally compact groups

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Derivations of operator algebras

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

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The Slice Map Problem for σ-Weakly Closed Subspaces of Von Neumann Algebras

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QUANTUM MARKOV PROCESSES (CORRESPONDENCES AND DILATIONS)

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The spectral theory of amenable actions and invariants of discrete groups

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An Operator Theorem on $L_1$ Convergence to Zero with Applications to Markov Kernels

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Properties of the relative entropy of states of von Neumann algebras

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

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Coarse decomposition of \(\mathrm{II}_1\) factors

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On ergodic embeddings of factors

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Tight decomposition of factors and the single generation problem

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Lifting fixed points of completely positive semigroups

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Derivations of \(W^ *\)-algebras

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Positive Functions on C ∗ -Algebras

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Theory of operator algebras. II

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Amenable ergodic group actions and an application to Poisson boundaries of random walks

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Strong rigidity for ergodic actions of semisimple Lie groups

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Identifiers

10.1112/S0010437X22007539

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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:5041006

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