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
Accepted author manuscript, 188 KB, PDF document
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.
| Original language | English |
|---|---|
| Journal | Groups, Geometry, and Dynamics |
| Volume | 13 |
| Issue number | 4 |
| Pages (from-to) | 1219-1234 |
| ISSN | 1661-7207 |
| DOIs | |
| Publication status | Published - 2019 |
- Classification of factors and their automorphisms, Descriptive set theory, Fourier analysis on locally compact abelian groups, Von Neumann algebras
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