Rohlin Flows on von Neumann Algebras

ISBN-13: 9781470420161 / Angielski

Toshihiko Masuda;Reiji Tomatsu

Opis

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.

Spis treści

• Introduction
• Preliminary
• Flows on ultraproduct von Neumann algebras
• Rohlin flows
• Classification of Rohlin flows
• Applications
• Characterization of Rohlin property
• Concluding remarks and problems
• Appendix
• Bibliography
• Index