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Rohlin flows on von Neumann algebras / Toshihiko Masuda and Reiji Tomatsu.

By: Contributor(s): Material type: TextTextSeries: Memoirs of the American Mathematical Society ; v 244, no 1153.Publication details: Providence : American Mathematical Society, 2016.Description: ix, 111 pages ; 26 cmISBN:
  • 9781470420161 (alk. paper)
Subject(s): DDC classification:
  • 510 23 Am512
Contents:
1. Introduction -- 2. Preliminary -- 3. Flows on ultraproduct von Neumann algebras -- 4. Rohlin flows -- 5. Classification of Rohlin flows -- 6. Applications -- 7. Characterizatio of Rohlin property -- 8. Concluding remarks and problems -- 9. Appendix .
Summary: The authors will classify Rohlin flows on von Neumann algebras up to strong cocycle conjugacy. This result provides alternative approaches to some preceding results such as Kawahigashi's classification of flows on the injective type II$_1$ factor, the classification of injective type III factors due to Connes, Krieger and Haagerup and the non-fullness of type III$_0$ factors. Several concrete examples are also studied.
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Holdings
Item type Current library Call number Status Date due Barcode Item holds
Books ISI Library, Kolkata 510 Am512 (Browse shelf(Opens below)) Available 137666
Total holds: 0

Includes bibliographical references and index.

1. Introduction --
2. Preliminary --
3. Flows on ultraproduct von Neumann algebras --
4. Rohlin flows --
5. Classification of Rohlin flows --
6. Applications --
7. Characterizatio of Rohlin property --
8. Concluding remarks and problems --
9. Appendix .

The authors will classify Rohlin flows on von Neumann algebras up to strong cocycle conjugacy. This result provides alternative approaches to some preceding results such as Kawahigashi's classification of flows on the injective type II$_1$ factor, the classification of injective type III factors due to Connes, Krieger and Haagerup and the non-fullness of type III$_0$ factors. Several concrete examples are also studied.

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