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