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

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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.

OriginalsprogEngelsk
TidsskriftGroups, Geometry, and Dynamics
Vol/bind13
Udgave nummer4
Sider (fra-til)1219-1234
ISSN1661-7207
DOI
StatusUdgivet - 2019

ID: 238857500