Strongly Solid Ii1 Factors with an Exotic Masa
نویسنده
چکیده
Using an extension of techniques of Ozawa and Popa, we give an example of a non-amenable strongly solid II1 factor M containing an “exotic” maximal abelian subalgebra A: as an A,A-bimodule, L(M) is neither coarse nor discrete. Thus we show that there exist II1 factors with such property but without Cartan subalgebras. It also follows from Voiculescu’s free entropy results that M is not an interpolated free group factor, yet it is strongly solid and has both the Haagerup property and the complete metric approximation property.
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تاریخ انتشار 2009