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International Mathematics Research Notices
Article . 2017 . Peer-reviewed
License: OUP Standard Publication Reuse
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zbMATH Open
Article . 2018
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https://dx.doi.org/10.48550/ar...
Article . 2019
License: arXiv Non-Exclusive Distribution
Data sources: Datacite
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On Noncommutative Joinings

On noncommutative joinings
Authors: Bannon, Jon P.; Cameron, Jan; Mukherjee, Kunal;
Abstract

This paper extends the classical theory of joinings of measurable dynamical systems to the noncommutative setting from several interconnected points of view. Among these is a particularly fruitful identification of joinings with equivariant quantum channels between $W^{\ast}$-dynamical systems that provides noncommutative generalizations of many fundamental results of classical joining theory. We obtain fully general analogues of the main classical disjointness characterizations of ergodicity, primeness and mixing phenomena.

Related Organizations
Keywords

equivariant quantum channels, Dynamical systems and the theory of \(C^*\)-algebras, Mathematics - Operator Algebras, joinings, Dynamical Systems (math.DS), 46L10, 37A55, FOS: Mathematics, ergodicity, Mathematics - Dynamical Systems, Noncommutative dynamical systems, Operator Algebras (math.OA)

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
9
Top 10%
Average
Average
Green
hybrid