arXiv:0807.4270 Abstract | arXiv Analytics

arXiv:0807.4270 [math.OA]Abstract References Reviews Resources

On a class of II_1 factors with at most one Cartan subalgebra II

Published 2008-07-27, updated 2008-07-29Version 2

This is a continuation of our previous paper studying the structure of Cartan subalgebras of von Neumann factors of type II_1. We provide more examples of II_1 factors having either zero, one or several Cartan subalgebras. We also prove a rigidity result for some group measure space II_1 factors.

Comments: 24 pages, continuation of arXiv:0706.3623

Categories: math.OA

Subjects: 46L10, 37A20

Keywords: cartan subalgebra, group measure space, von neumann factors, rigidity result, continuation

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