Maximal Amenability with Asymptotic Orthogonality in Amalgamated Free Products

We investigate the use of Popa's asymptotic orthogonality to establish maximal amenability for amalgamated free product von Neumann algebras. Although new techniques have recently been developed to consider amalgamated free products, we find that the technique developed by Popa in the 1980s can...

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Bibliographic Details
Published inarXiv.org
Main Author Leary, Brian
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 12.12.2019
Subjects
Amalgamation
Asymptotic properties
Orthogonality
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Summary:We investigate the use of Popa's asymptotic orthogonality to establish maximal amenability for amalgamated free product von Neumann algebras. Although new techniques have recently been developed to consider amalgamated free products, we find that the technique developed by Popa in the 1980s can be used to demonstrate maximal amenability for a certain family of amalgamated free product von Neumann algebras.
ISSN:2331-8422