Non-classification of free Araki-Woods factors and τ-invariants
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- OA-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.
Originalsprog | Engelsk |
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Tidsskrift | Groups, Geometry, and Dynamics |
Vol/bind | 13 |
Udgave nummer | 4 |
Sider (fra-til) | 1219-1234 |
ISSN | 1661-7207 |
DOI | |
Status | Udgivet - 2019 |
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