Asymptotic freeness in tracial ultraproducts

DOI10.1017/fms.2024.93MaRDI QIDQ6633894

Publication date: 6 November 2024

Published in: Forum of Mathematics, Sigma (Search for Journal in Brave)

Free probability and free operator algebras (46L54) General theory of von Neumann algebras (46L10) Ultraproducts in functional analysis (46M07) Noncommutative measure and integration (46L51) Noncommutative function spaces (46L52) Continuous model theory, model theory of metric structures (03C66)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
A II$_{1}$ factor approach to the Kadison-Singer problem
Maximal injective subalgebras in factors associated with free groups
Amalgamated free products of weakly rigid factors and calculation of their symmetry groups
Bass-Serre rigidity results in von Neumann algebras
Free products of hyperfinite von Neumann algebras and free dimension
Classification of injective factors. Cases $\mathrm{II}_1$, $\mathrm{II}_\infty$, $\mathrm{III}_\lambda$, $\lambda\neq 1$
Amenable absorption in amalgamated free product von Neumann algebras
Index for subfactors
Theory of operator algebras. II
Gamma stability in free product von Neumann algebras
Asymptotic orthogonalization of subalgebras in $\mathrm{II}_1$ factors
$\mathrm{II}_1$ factors with nonisomorphic ultrapowers
Free Hilbert transforms
Structure of $\mathrm{II}_{1}$ factors arising from free Bogoljubov actions of arbitrary groups
Strongly 1-bounded von Neumann algebras
Strong rigidity of $\text{II}_1$ factors arising from malleable actions of $w$-rigid groups. I
On a class of type $\text{II}_1$ factors with Betti numbers invariants
Independence properties in subalgebras of ultraproduct $\mathrm{II}_1$ factors
Uncountably many $II_1$ factors
Explicit computations of all finite index bimodules for a family of II$_1$ factors
Entropy and index for subfactors
On the Theories of McDuff’s II$_1$ Factors
1-Bounded entropy and regularity problems in von Neumann algebras
A Random Matrix Approach to Absorption in Free Products
A random matrix approach to the Peterson-Thom conjecture
Cartan subalgebras of amalgamated free product II$_1$ factors
Asymptotic structure of free product von Neumann algebras
Model theory of operator algebras III: elementary equivalence and II₁factors
An exotic $\mathrm{II}_1$ factor without property Gamma

This page was built for publication: Asymptotic freeness in tracial ultraproducts