Heide Narnhofer, Walter Thirring
C* Dynamical Systems that Assymptotically are Highly Anticommutative
The paper is published: Lett. Math. Phys. 35, 2 (1995) 145-154

MSC:

46L55 Noncommutative dynamical systems, See also {28Dxx, 54H20,

28D20 Entropy and other invariants

Abstract: It is shown that with probability 1 on $\Theta$ resp. on $g_X$ the
irrational rotation algebra $\M_\Theta$ with respect to the CAT map
and the generalized Price--Powers shift $\A_X$ are asymptotically
highly anticommutative.

Keywords: irrational rotation algebra, generalized Price-Powers shift