科研之友
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摘要
We show that for every mixing orthogonal representation pi : Z -> O(HR), the abelian subalgebra L(Z) is maximal amenable in the crossed product II1 factor Gamma(HR)'' (sic)(pi) Z associated with the free Bogoljubov action of the representation pi. This provides uncountably many non-isomorphic A-A-bimodules which are disjoint from the coarse A-A-bimodule and of the form L-2(M circle minus A) where A subset of M is a maximal amenable masa in a II1 factor.
- 出版日期2014-7
