Non-classification of free Araki-Woods factors and τ-invariants

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Standard

Non-classification of free Araki-Woods factors and τ-invariants. / Sasyk, Román; Törnquist, Asger; Vaes, Stefaan.

I: Groups, Geometry, and Dynamics, Bind 13, Nr. 4, 2019, s. 1219-1234.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Sasyk, R, Törnquist, A & Vaes, S 2019, 'Non-classification of free Araki-Woods factors and τ-invariants', Groups, Geometry, and Dynamics, bind 13, nr. 4, s. 1219-1234. https://doi.org/10.4171/GGD/520

APA

Sasyk, R., Törnquist, A., & Vaes, S. (2019). Non-classification of free Araki-Woods factors and τ-invariants. Groups, Geometry, and Dynamics, 13(4), 1219-1234. https://doi.org/10.4171/GGD/520

Vancouver

Sasyk R, Törnquist A, Vaes S. Non-classification of free Araki-Woods factors and τ-invariants. Groups, Geometry, and Dynamics. 2019;13(4):1219-1234. https://doi.org/10.4171/GGD/520

Author

Sasyk, Román ; Törnquist, Asger ; Vaes, Stefaan. / Non-classification of free Araki-Woods factors and τ-invariants. I: Groups, Geometry, and Dynamics. 2019 ; Bind 13, Nr. 4. s. 1219-1234.

Bibtex

@article{3035978e155042f386e1834aca75c26c,
title = "Non-classification of free Araki-Woods factors and τ-invariants",
abstract = "We define the standard Borel space of free Araki-Woods factors and prove that their isomorphism relation is not classifiable by countable structures. We also prove that equality of τ-topologies, arising as invariants of type III factors, as well as cocycle and outer conjugacy of actions of abelian groups on free product factors are not classifiable by countable structures.",
keywords = "Classification of factors and their automorphisms, Descriptive set theory, Fourier analysis on locally compact abelian groups, Von Neumann algebras",
author = "Rom{\'a}n Sasyk and Asger T{\"o}rnquist and Stefaan Vaes",
year = "2019",
doi = "10.4171/GGD/520",
language = "English",
volume = "13",
pages = "1219--1234",
journal = "Groups, Geometry, and Dynamics",
issn = "1661-7207",
publisher = "European Mathematical Society Publishing House",
number = "4",

}

RIS

TY - JOUR

T1 - Non-classification of free Araki-Woods factors and τ-invariants

AU - Sasyk, Román

AU - Törnquist, Asger

AU - Vaes, Stefaan

PY - 2019

Y1 - 2019

N2 - We define the standard Borel space of free Araki-Woods factors and prove that their isomorphism relation is not classifiable by countable structures. We also prove that equality of τ-topologies, arising as invariants of type III factors, as well as cocycle and outer conjugacy of actions of abelian groups on free product factors are not classifiable by countable structures.

AB - We define the standard Borel space of free Araki-Woods factors and prove that their isomorphism relation is not classifiable by countable structures. We also prove that equality of τ-topologies, arising as invariants of type III factors, as well as cocycle and outer conjugacy of actions of abelian groups on free product factors are not classifiable by countable structures.

KW - Classification of factors and their automorphisms

KW - Descriptive set theory

KW - Fourier analysis on locally compact abelian groups

KW - Von Neumann algebras

UR - http://www.scopus.com/inward/record.url?scp=85077284951&partnerID=8YFLogxK

U2 - 10.4171/GGD/520

DO - 10.4171/GGD/520

M3 - Journal article

AN - SCOPUS:85077284951

VL - 13

SP - 1219

EP - 1234

JO - Groups, Geometry, and Dynamics

JF - Groups, Geometry, and Dynamics

SN - 1661-7207

IS - 4

ER -

ID: 238857500