BIRS Workshop Lecture Videos

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BIRS Workshop Lecture Videos

Bi-Boolean independence for non-unital pairs of algebras Gu, Yinzheng


We consider the Boolean version of Voiculescu's extension from free probability to bi-free probability and introduce the notion of bi-Boolean independence for non-unital pairs of algebras. We show that both the combinatorial and the analytic aspects of bi-free probability have immediate analogues with respect to this new notion of independence and discuss how to extend it further to the operator-valued setting. (Joint work with Paul Skoufranis.)

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