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arXiv · 0812.0715

Free joinings of C*-dynamical systems

Rocco Duvenhage
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Abstract

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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Rocco Duvenhage. 2008-12-03. Free joinings of C*-dynamical systems. https://doi.org/10.1016/j.jmaa.2010.04.025

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