Turbulence and Araki-Woods factors
Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
Using Baire category techniques we prove that Araki-Woods factors are not classifiable by countable structures. As a result, we obtain a far reaching strengthening as well as a new proof of the well-known theorem of Woods that the isomorphism problem for ITPFI factors is not smooth. We derive as a consequence that the odometer actions of Z that preserve the measure class of a finite non-atomic product measure are not classifiable up to orbit equivalence by countable structures.
Originalsprog | Engelsk |
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Tidsskrift | Journal of Functional Analysis |
Vol/bind | 259 |
Udgave nummer | 9 |
Sider (fra-til) | 2238-2252 |
Antal sider | 15 |
ISSN | 0022-1236 |
DOI | |
Status | Udgivet - 1 nov. 2010 |
ID: 61334334