Finite-dimensional representation of classical crossed-product algebras
Igal Megory-Cohen · Pacific Journal of Mathematics · 1988
The paper describes the structure of finite dimensional representations of BT, the crossed-product algebra of a classical dynamical system (a^,Z,C(X)) where T is a homeomorphism on a compact space X.The results are used to describe the topology of Vnm n (B T ) and to partially classify the hyperbolic crossed-product algebras over the torus.One of the main results is that the number of orbits of any fixed length with respect to T is an invariant of BT.A consequence of that is that the entropy of T is an invariant of B T , for T a hyperbolic automorphism on the m-torus.