Ergodic Theory and Dynamical Systems

Research Article

Embedding some transformation group C*-algebras into AF-algebras

Mihai V. Pimsnera1

a1 Department of Mathematics, National Institute for Scientific and Technical Creation, Bd. Pacii 220, 79622 Bucharest, Romania


For a homeomorphism of a compact metrizable space X, we show that the property that every point of X is pseudo-non-wandering (see definition 2) is equivalent to the possibility of embedding the corresponding transformation group C*-algebra into an AF-algebra.

(Received November 27 1982)