Hilbert C * -modules from Group Actions: beyond the Finite Orbits Case

@inproceedings{FrankHilbertC,
  title={Hilbert C * -modules from Group Actions: beyond the Finite Orbits Case},
  author={Michael D. Frank and Vladimir Manuilov and EVGENIJ TROITSKY}
}
Continuous actions of topological groups on compact Hausdorff spaces X are investigated which induce almost periodic functions in the corresponding commutative C *-algebra. The unique invariant mean on the group resulting from averaging allows to derive a C *-valued inner product and a Hilbert C *-module which serve as an environment to describe characteristics of the group action. For uniformly continuous, Lyapunov stable actions the derived invariant mean M (φ x) is continuous on X for any… CONTINUE READING