We introduce the notion of stationary actions in the context of C*-algebras, and prove a new characterization of C*-simplicity in terms of unique stationarity of the canonical trace. This ergodic theoretical characterization provides an intrinsic understanding for the relation between C*-simplicity and the unique trace property, and provides a framework in which C*-simplicity and random walks interact.
Joint work with Mehrdad Kalantar.
Angelegt am Montag, 25.11.2019 09:30 von elke
Geändert am Freitag, 29.11.2019 10:34 von elke
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