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Matrix models for $\varepsilon$-independence. Charlesworth, Ian
Description
I will discuss $\varepsilon$-independence, which is an interpolation of classical and free independence originally studied by Motkowski and later by Speicher and Wysoczanski. To be $\varepsilon$-independent, a family of algebras in particular must satisfy pairwise classical or free independence relations prescribed by a $\{0, 1\}$-matrix $\varepsilon$, as well as more complicated higher order relations. I will discuss how matrix models for this independence may be constructed in a suitably-chosen tensor product of matrix algebras. This is joint work with Benoit Collins.
Item Metadata
Title |
Matrix models for $\varepsilon$-independence.
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2019-10-03T17:05
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Description |
I will discuss $\varepsilon$-independence, which is an interpolation of classical and free independence originally studied by Motkowski and later by Speicher and Wysoczanski. To be $\varepsilon$-independent, a family of algebras in particular must satisfy pairwise classical or free independence relations prescribed by a $\{0, 1\}$-matrix $\varepsilon$, as well as more complicated higher order relations. I will discuss how matrix models for this independence may be constructed in a suitably-chosen tensor product of matrix algebras. This is joint work with Benoit Collins.
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Extent |
23.0 minutes
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: UC Berkeley
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Series | |
Date Available |
2020-04-01
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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 |
10.14288/1.0389707
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URI | |
Affiliation | |
Peer Review Status |
Unreviewed
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Scholarly Level |
Postdoctoral
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Rights URI | |
Aggregated Source Repository |
DSpace
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Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International