On orthogonal systems, two-sided bases and regular subfactors

Fuente: arXiv
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Autores principales: Bakshi, Keshab Chandra, Gupta, Ved Prakash
Formato: Preprint
Publicado: 2019
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author Bakshi, Keshab Chandra
Gupta, Ved Prakash
author_facet Bakshi, Keshab Chandra
Gupta, Ved Prakash
contents We prove that a regular subfator of type $II_1$ with finite Jones index always admits a two-sided Pimsner-Popa basis. This is preceeded by a pragmatic revisit of Popa's notion of orthogonal systems.
format Preprint
id arxiv_https___arxiv_org_abs_1904_05612
institution arXiv
publishDate 2019
record_format arxiv
spellingShingle On orthogonal systems, two-sided bases and regular subfactors
Bakshi, Keshab Chandra
Gupta, Ved Prakash
Operator Algebras
Functional Analysis
46L37
We prove that a regular subfator of type $II_1$ with finite Jones index always admits a two-sided Pimsner-Popa basis. This is preceeded by a pragmatic revisit of Popa's notion of orthogonal systems.
title On orthogonal systems, two-sided bases and regular subfactors
topic Operator Algebras
Functional Analysis
46L37
url https://arxiv.org/abs/1904.05612