Turbulence and Araki-Woods factors

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Standard

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

Harvard

Sasyk, R, Törnquist, A & Törnquist, AD 2010, 'Turbulence and Araki-Woods factors', Journal of Functional Analysis, bind 259, nr. 9, s. 2238-2252. https://doi.org/10.1016/j.jfa.2010.06.018

APA

Sasyk, R., Törnquist, A., & Törnquist, A. D. (2010). Turbulence and Araki-Woods factors. Journal of Functional Analysis, 259(9), 2238-2252. https://doi.org/10.1016/j.jfa.2010.06.018

Vancouver

Sasyk R, Törnquist A, Törnquist AD. Turbulence and Araki-Woods factors. Journal of Functional Analysis. 2010 nov. 1;259(9):2238-2252. https://doi.org/10.1016/j.jfa.2010.06.018

Author

Sasyk, R. ; Törnquist, A. ; Törnquist, Asger Dag. / Turbulence and Araki-Woods factors. I: Journal of Functional Analysis. 2010 ; Bind 259, Nr. 9. s. 2238-2252.

Bibtex

@article{2d12412f4b414111af87234c7bce2518,
title = "Turbulence and Araki-Woods factors",
abstract = "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.",
author = "R. Sasyk and A. T{\"o}rnquist and T{\"o}rnquist, {Asger Dag}",
year = "2010",
month = nov,
day = "1",
doi = "10.1016/j.jfa.2010.06.018",
language = "English",
volume = "259",
pages = "2238--2252",
journal = "Journal of Functional Analysis",
issn = "0022-1236",
publisher = "Academic Press",
number = "9",

}

RIS

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