On orthogonal systems, two-sided bases and regular subfactors

Keshab Chandra Bakshi; Ved Prakash Gupta

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arXiv · 1904.05612

On orthogonal systems, two-sided bases and regular subfactors

Keshab Chandra Bakshi·Ved Prakash Gupta

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Abstract

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.

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Keshab Chandra Bakshi, Ved Prakash Gupta. 2019-04-11. On orthogonal systems, two-sided bases and regular subfactors. https://arxiv.org/abs/1904.05612

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