Geodesic
A few remarks on Pimsner–Popa bases and regular subfactors of depth 2
Glasgow mathematical journal, Tome 64 (2022) no. 3, pp. 586-602

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DOI

We prove that a finite index regular inclusion of $II_1$-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 $II_1$-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).
DOI : 10.1017/S0017089521000379
Mots-clés : Pimsner-Popa bases, weak Hopf algebra, regular subfactor, unitary basis, Jones index 
Bakshi, Keshab Chandra; Gupta, Ved Prakash. A few remarks on Pimsner–Popa bases and regular subfactors of depth 2. Glasgow mathematical journal, Tome 64 (2022) no. 3, pp. 586-602. doi: 10.1017/S0017089521000379
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     author = {Bakshi, Keshab Chandra and Gupta, Ved Prakash},
     title = {A few remarks on {Pimsner{\textendash}Popa} bases and regular subfactors of depth 2},
     journal = {Glasgow mathematical journal},
     pages = {586--602},
     year = {2022},
     volume = {64},
     number = {3},
     doi = {10.1017/S0017089521000379},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089521000379/}
}
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