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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
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2016-12-05T14:30
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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.)
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Extent |
26 minutes
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: Queen's University
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Series | |
Date Available |
2017-05-15
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Provider |
Vancouver : University of British Columbia Library
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Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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DOI |
10.14288/1.0347456
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URI | |
Affiliation | |
Peer Review Status |
Unreviewed
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Scholarly Level |
Graduate
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Rights URI | |
Aggregated Source Repository |
DSpace
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Rights
Attribution-NonCommercial-NoDerivatives 4.0 International