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

Description

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.)

Item Metadata

Title
Bi-Boolean independence for non-unital pairs of algebras
Creator
Gu, Yinzheng
Publisher
Banff International Research Station for Mathematical Innovation and Discovery
Date Issued
2016-12-05T14:30
Description
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.)
Extent
26 minutes
Subject
Mathematics; Functional analysis; Probability theory and stochastic processes; Operator theory/algebras
Type
Moving Image
File Format
video/mp4
Language
eng
Notes
Author affiliation: Queen's University
Series
BIRS Workshop Lecture Videos (Banff, Alta)
Date Available
2017-05-15
Provider
Vancouver : University of British Columbia Library
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International
DOI
10.14288/1.0347456
URI
http://hdl.handle.net/2429/61625
Affiliation
Non UBC
Peer Review Status
Unreviewed
Scholarly Level
Graduate
Rights URI
http://creativecommons.org/licenses/by-nc-nd/4.0/
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Attribution-NonCommercial-NoDerivatives 4.0 International