Free joinings of C*-dynamical systems

Details Free joinings of C*-dynamical systems Free joinings of C*-dynamical systems

2008-12-03

arxiv.org/abs/0812.0715v1

J. Math. Anal. Appl. 368 (2010) 413-419

Mathematics

Operator Algebras

12 pages

Scientific paper

10.1016/j.jmaa.2010.04.025

Joinings of C*-dynamical systems are defined in terms of free products of
C*-algebras, as an analogue of joinings of classical dynamical systems. We then
consider disjointness in this context, in particular for ergodic versus
identity systems. Lastly we show how multi-time correlation functions appearing
in quantum statistical mechanics naturally fit into this joining framework.

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