Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Singular MASAs in type III factors and Connes' Bicentralizer Property   We show that any type ${\rm III_1}$ factor with separable predual satisfying
Connes' Bicentralizer Property (CBP) has a singular maximal abelian
$\ast$-subalgebra that is the range of a normal conditional expectation. We
also investigate stability properties of CBP under finite index
extensions/restrictions of type ${\rm III_1}$ factors.

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The categories of this paper are: atom-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-ex
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The categories of this paper are: cond-mat
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The categories of this paper are: stat
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The categories of this paper are: cs
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The categories of this paper are: funct-an
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The categories of this paper are: mtrl-th
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The categories of this paper are: alg-geom
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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: nucl-th
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The categories of this paper are: hep-ph
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The categories of this paper are: supr-con
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The categories of this paper are: econ