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- Title
On Noncommutative Joinings.
- Authors
Bannon, Jon P; Cameron, Jan; Mukherjee, Kunal
- Abstract
This article 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.
- Subjects
NONCOMMUTATIVE algebras; ABSTRACT algebra; NONCOMMUTATIVE differential geometry; QUANTUM coherence; DYNAMICAL systems
- Publication
IMRN: International Mathematics Research Notices, 2018, Vol 2018, Issue 15, p4734
- ISSN
1073-7928
- Publication type
Article
- DOI
10.1093/imrn/rnx024