Dimension and Dynamical Entropy for Metrized C∗-algebras

نویسنده

DAVID KERR

چکیده

We introduce notions of dimension and dynamical entropy for unital C∗algebras “metrized” by means of cLip-norms, which are complex-scalar versions of the Lip-norms constitutive of Rieffel’s compact quantum metric spaces. Our examples involve the UHF algebras Mp∞ and noncommutative tori. In particular we show that the entropy of a noncommutative toral automorphism with respect to the canonical cLipnorm coincides with the topological entropy of its commutative analogue.

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