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June 2019 Constructing MASAs with prescribed properties
Sorin Popa
Kyoto J. Math. 59(2): 367-397 (June 2019). DOI: 10.1215/21562261-2019-0003

Abstract

We consider an iterative procedure for constructing maximal abelian -subalgebras (MASAs) satisfying prescribed properties in II1 factors. This method pairs well with the intertwining by bimodules technique and with properties of the MASA and of the ambient factor that can be described locally. We obtain such a local characterization for II1 factors M that have an s-MASA, AM (i.e., for which AJAJ is maximal abelian in B(L2M)), and use this strategy to prove that any factor in this class has uncountably many nonintertwinable singular (resp., semiregular) s-MASAs.

Citation

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Sorin Popa. "Constructing MASAs with prescribed properties." Kyoto J. Math. 59 (2) 367 - 397, June 2019. https://doi.org/10.1215/21562261-2019-0003

Information

Received: 11 December 2016; Revised: 5 March 2017; Accepted: 9 March 2017; Published: June 2019
First available in Project Euclid: 27 February 2019

zbMATH: 07080109
MathSciNet: MR3960298
Digital Object Identifier: 10.1215/21562261-2019-0003

Subjects:
Primary: 46L10
Secondary: 46L36, 46L37

Rights: Copyright © 2019 Kyoto University

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Vol.59 • No. 2 • June 2019
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