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Topological dynamics and algebras with an involution

Published online by Cambridge University Press:  17 April 2009

J.S. Yang
J.S. Yang
Affiliation:
Department of Mathematics, Computer Science, and Statistics, University of South Carolina, Columbia, South Carolina, USA.
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Abstract

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I this paper we extend such dynamical concepts as weak almost periodicity and simple equicontinuity of topological dynamics to the context of groups of *-automorphisms on a C*-algebra with unit. If (A, G) is a C* flow and if S(A) is the state space of A, we show that (A, G) is weakly almost periodic if and only if (S(A), G) is weakly almost periodic, and that, if A is a von Neumann algebra, then A is G-finite if and only if G is simple equicontinuous on the unit ball of A with respect to the weak *-topology.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 20 , Issue 3 , June 1979 , pp. 467 - 472
Copyright
Copyright © Australian Mathematical Society 1979

References

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