On orthogonal systems, two-sided bases and regular subfactors
Operator Algebras
2026-01-01 v3 Functional Analysis
Abstract
We prove that a regular subfator of type 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.
Cite
@article{arxiv.1904.05612,
title = {On orthogonal systems, two-sided bases and regular subfactors},
author = {Keshab Chandra Bakshi and Ved Prakash Gupta},
journal= {arXiv preprint arXiv:1904.05612},
year = {2026}
}
Comments
15 pages; Theorem 3.12 and few remarks added, feedback is welcome!