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Strict weak mixing of some C*-dynamical systems based on free shifts

Francesco Fidaleo·Farrukh Mukhamedov
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Abstract

We define a stronger property than unique ergodicity with respect to the fixed-point subalgebra previously investigated by Abadie and Dykema. Such a property is denoted as F-strict weak mixing (F stands for the Markov projection onto the fixed-point operator system). Then we show that the free shifts on the reduced C*-algebras of RD-groups, including the free group on infinitely many generators, and amalgamated free product C*-algebras, considered by Abadie and Dykema, are all strictly weak mixing and not merely uniquely ergodic.

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Francesco Fidaleo, Farrukh Mukhamedov. 2006-12-01. Strict weak mixing of some C*-dynamical systems based on free shifts. https://doi.org/10.1016/j.jmaa.2007.02.066

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