A few remarks on Pimsner-Popa bases and regular subfactors of depth 2

2021/02/02 by Bakshi, Keshab Chandra, Gupta, Ved Prakash · 1 citation
#FOS: Mathematics #Functional Analysis (math.FA) #Operator Algebras (math.OA) #Quantum Algebra (math.QA)

paper · doi:10.48550/arxiv.2102.01462

Abstract

We prove that a finite index regular inclusion of II₁-factors with commutative first relative commutant is always a crossed product subfactor with respect to a minimal action of a biconnected weak Kac algebra. Prior to this, we prove that every finite index inclusion of II₁-factors which is of depth 2 and has simple first relative commutant (respectively, is regular and has commutative or simple first relative commutant) admits a two-sided Pimsner-Popa basis (respectively, a unitary orthonormal basis)

Cited by

• Depth 2 inclusions of simple C^*-algebras and their weak C^*-Hopf algebra symmetries

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