Turbulence and Araki-Woods factors
Research output: Contribution to journal › Journal article › Research › peer-review
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.
Original language | English |
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Journal | Journal of Functional Analysis |
Volume | 259 |
Issue number | 9 |
Pages (from-to) | 2238-2252 |
Number of pages | 15 |
ISSN | 0022-1236 |
DOIs | |
Publication status | Published - 1 Nov 2010 |
ID: 61334334