Turbulence and Araki-Woods factors
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Turbulence and Araki-Woods factors. / Sasyk, R.; Törnquist, A.; Törnquist, Asger Dag.
I: Journal of Functional Analysis, Bind 259, Nr. 9, 01.11.2010, s. 2238-2252.Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
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TY - JOUR
T1 - Turbulence and Araki-Woods factors
AU - Sasyk, R.
AU - Törnquist, A.
AU - Törnquist, Asger Dag
PY - 2010/11/1
Y1 - 2010/11/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=77955662804&partnerID=8YFLogxK
U2 - 10.1016/j.jfa.2010.06.018
DO - 10.1016/j.jfa.2010.06.018
M3 - Journal article
AN - SCOPUS:77955662804
VL - 259
SP - 2238
EP - 2252
JO - Journal of Functional Analysis
JF - Journal of Functional Analysis
SN - 0022-1236
IS - 9
ER -
ID: 61334334