Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4666110 | Advances in Mathematics | 2013 | 29 Pages |
Abstract
We prove that if C is a tensor Câ-category in a certain class, then there exists an uncountable family of pairwise non stably isomorphic II1 factors (Mi) such that the bimodule category of Mi is equivalent to C for all i. In particular, we prove that every finite tensor Câ-category is the bimodule category of a II1 factor. As an application we prove the existence of a II1 factor for which the set of indices of finite index irreducible subfactors is {1,5+132,12+313,4+13,11+3132,13+3132,19+5132,7+132}. We also give the first example of a II1 factor M such that Bimod(M) is explicitly calculated and has an uncountable number of isomorphism classes of irreducible objects.
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Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Sébastien Falguières, Sven Raum,