Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4666248 | Advances in Mathematics | 2012 | 28 Pages |
Abstract
We construct a class of II1 factors M that admit unclassifiably many Cartan subalgebras in the sense that the equivalence relation of being conjugate by an automorphism of M is complete analytic, in particular non Borel. We also construct a II1 factor that admits uncountably many non isomorphic group measure space decompositions, all involving the same group G. So G is a group that admits uncountably many non stably orbit equivalent actions whose crossed product II1 factors are all isomorphic.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
An Speelman, Stefaan Vaes,