On orthogonal systems, two-sided bases and regular subfactors
… We prove that a regular subfactor of type II1 with finite Jones index always admits a two-sided
Pimsner-Popa basis. This is preceded by a pragmatic revisit of Popa’s notion of orthogonal
systems. … Finally, in Section 3, we settle the question of existence of two-sided basis for any
finite index regular subfactor N ⊂ M. This is achieved through a twofold strategy, namely, we …
Pimsner-Popa basis. This is preceded by a pragmatic revisit of Popa’s notion of orthogonal
systems. … Finally, in Section 3, we settle the question of existence of two-sided basis for any
finite index regular subfactor N ⊂ M. This is achieved through a twofold strategy, namely, we …
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.
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