Strict Weak Mixing of Some C–dynamical Systems Based on Free Shifts
نویسندگان
چکیده
Abstract. We define a stronger property than unique ergodicity with respect to the fixed–point subalgebra firstly investigated in [1]. 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 in [1], are all strictly weak mixing and not only uniquely ergodic. Mathematics Subject Classification: 37A30, 46L55, 60J99, 20E06.
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