On orthogonal systems, two-sided bases and regular subfactors

2019/04/11 by Keshab Chandra Bakshi, Ved Prakash Gupta, Bakshi, Keshab Chandra +1
Mathematics · #46L37 #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Functional Analysis (math.FA) #Operator Algebras (math.OA)

paper · pdf · doi:10.48550/arxiv.1904.05612

openalex publication_date 2019/04/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove that a regular subfator of type II₁ 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.

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