Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Strongly solid ${\rm II_1}$ factors with an exotic MASA   Using an extension of techniques of Ozawa and Popa, we give an example of a
non-amenable strongly solid $\rm{II}_1$ factor $M$ containing an "exotic"
maximal abelian subalgebra $A$: as an $A$,$A$-bimodule, $L^2(M)$ is neither
coarse nor discrete. Thus we show that there exist $\rm{II}_1$ 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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The categories of this paper are: funct-an
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The categories of this paper are: atom-ph
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The categories of this paper are: physics
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The categories of this paper are: q-alg
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The categories of this paper are: cond-mat
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The categories of this paper are: comp-gas
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The categories of this paper are: supr-con
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The categories of this paper are: cs
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The categories of this paper are: bayes-an
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The categories of this paper are: dg-ga
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The categories of this paper are: q-fin
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The categories of this paper are: chao-dyn
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The categories of this paper are: adap-org
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The categories of this paper are: eess
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The categories of this paper are: gr-qc
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The categories of this paper are: quant-ph