Amenability versus non amenability: an introduction to von Neumann algebras

DOI10.4171/176-1/23zbMath1409.46033OpenAlexW3157091574MaRDI QIDQ1620863

Publication date: 14 November 2018

Full work available at URL: https://lirias.kuleuven.be/handle/123456789/658836

General theory of von Neumann algebras (46L10) Research exposition (monographs, survey articles) pertaining to functional analysis (46-02) Classification of factors (46L36)

Related Items (1)

Rigidity for von Neumann algebras given by locally compact groups and their crossed products

Cites Work

Unnamed Item
Unnamed Item
A class of superrigid group von Neumann algebras
Group measure space decomposition of $\text{II}_{1}$ factors and $\text W^{*}$-superrigidity
Unique Cartan decomposition for $\mathrm{II}_1$ factors
Duality for crossed products and the structure of von Neumann algebras of type III
On a class of II$_1$ factors with at most one Cartan subalgebra
Action of discrete amenable groups on von Neumann algebras
Connes' bicentralizer problem and uniqueness of the injective factor of type $III_ 1$
Almost periodic states and factors of type III$_1$
Classification of injective factors. Cases $\mathrm{II}_1$, $\mathrm{II}_\infty$, $\mathrm{III}_\lambda$, $\lambda\neq 1$
Free quasi-free states
$\ell^2$ invariants of equivalence relations and groups
Unique Cartan decomposition for $\mathrm{II}_1$ factors arising from arbitrary actions of free groups
Classification of type III Bernoulli crossed products
A class of $\mathrm{II}_1$ factors with exactly two group measure space decompositions
Cocycle and orbit equivalence superrigidity for malleable actions of $w$-rigid groups
Strong rigidity of $\text{II}_1$ factors arising from malleable actions of $w$-rigid groups. I
Strong rigidity of $\text{II}_1$ factors arising from malleable actions of $w$-rigid groups. II
On a class of type $\text{II}_1$ factors with Betti numbers invariants
Uncountably many $II_1$ factors
Tomita's theory of modular Hilbert algebras and its applications
On rings of operators. IV
A survey of Measured Group Theory
Classification and rigidity for von Neumann algebras
Orbit Equivalence and Measured Group Theory
Rigidity for von Neumann algebras and their invariants
W*–superrigidity for Bernoulli actions of property (T) groups
Free Araki-Woods factors and Connes’ bicentralizer problem
Ergodic Equivalence Relations, Cohomology, and Von Neumann Algebras. II
On the structural theory of $\rm II_1$ factors of negatively curved groups
W*-superrigidity for group von Neumann algebras of left-right wreath products
Une classification des facteurs de type ${\rm III}$
Cartan subalgebras of amalgamated free product II$_1$ factors

This page was built for publication: Amenability versus non amenability: an introduction to von Neumann algebras