Turbulence and Araki-Woods factors

Publikation: Bidrag til tidsskriftTidsskriftartikelfagfællebedømt

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.
OriginalsprogEngelsk
TidsskriftJournal of Functional Analysis
Vol/bind259
Udgave nummer9
Sider (fra-til)2238-2252
Antal sider15
ISSN0022-1236
DOI
StatusUdgivet - 1 nov. 2010

ID: 61334334