A few remarks on Pimsner–Popa bases and regular subfactors of depth 2
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Abstract 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).
2018 ◽
Vol 2020
(19)
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pp. 6007-6041
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2012 ◽
Vol 14
(06)
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pp. 1250038
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2011 ◽
Vol 32
(1)
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pp. 273-293
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2003 ◽
Vol 103
(2)
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pp. 159-167
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2014 ◽
Vol 51
(4)
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pp. 547-555
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