Some classes of smooth bimodules over $\mathrm{II}_1$ factors and their associated 1-cohomology spaces

General theory of von Neumann algebras (46L10) Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25)

Cites Work

Unnamed Item
On the first continuous $L^2$-cohomology of free group factors
Derivations on commutative normed algebras
$L^{2}$-rigidity in von Neumann algebras
The commutant modulo the set of compact operators of a von Neumann algebra
Amenability and virtual diagonals for von Neumann algebras
Derivations of von Neumann algebras into the compact ideal space of a semifinite algebra
A class of II$_1$ factors without property P but with zero second cohomology
Classification of injective factors. Cases $\mathrm{II}_1$, $\mathrm{II}_\infty$, $\mathrm{III}_\lambda$, $\lambda\neq 1$
Notes on extensions of $C^*$-algebras
$\ell^2$ invariants of equivalence relations and groups
$L^{2}$-cohomology for von Neumann algebras
On a class of type $\text{II}_1$ factors with Betti numbers invariants
Derivations of operator algebras
Derivations of $W^ *$-algebras
Cohomology of operator algebras. I: Type I von Neumann algebras
Operators commuting with a von Neumann algebra modulo the set of compact operators
On the cohomology groups of an associative algebra
SMOOTH BIMODULES AND COHOMOLOGY OF II₁ FACTORS
A comment on free group factors
Extensions of derivations II.
Derivations, Homomorphisms, and Operator Ideals
A note on dual Banach spaces.
C*-convex sets and completely bounded bimodule homomorphisms
Measure continuous derivations on von Neumann algebras and applications to ${L^2}$-cohomology
Property Γ factors and the Hochschild cohomology problem
Vanishing of the First Continuous L2-Cohomology for II1 Factors
Cohomology of operator algebras. III : reduction to normal cohomology
Automatic Continuity of Derivations of Operator Algebras
Approximate Diagonals and Cohomology of Certain Annihilator Banach Algebras
L²-homology for von Neumann algebras
Modules Over Operator Algebras
Similarity problems and completely bounded maps. Includes the solution to ``The Halmos problem.
Properly proximal von Neumann algebras

This page was built for publication: Some classes of smooth bimodules over $\mathrm{II}_1$ factors and their associated 1-cohomology spaces

Some classes of smooth bimodules over \(\mathrm{II}_1\) factors and their associated 1-cohomology spaces