Remarks on a $C^*$-dynamical system.

Some Remarks on Group Bundles and dynamical C*-systems

We give a characterization of dynamical C*-systems such that the relative commutant of the fixed-point C*-algebra is minimal (i.e., it is generated by the centre of the given C*-algebra and the centre of the fixed-point C*-algebra), in terms of suitable C*-algebra bundles. The group acting on the C*-algebra is the (noncompact, in general) space of sections of a compact group bundle. AMS Subj. C...

Some Remarks on Group Bundles and C(X)-Dynamical Systems

We give a characterization of C(X)-dynamical systems (B, G) such that the relative commutant of the fixed point algebra A := B is minimal (i.e. A′ ∩ B = (A∩A′)∨ (B ∩B′)) in terms of a field of C*-algebras over a suitable coset bundle. Here G is intended as the space of sections of a compact group bundle over X , so that it is a compact group when X is a single point. AMS Subj. Class.: 46L05, 55...

Some Remarks on Group Bundles and C*-dynamical systems

We introduce the notion of fibred action of a group bundle on a C0(X)algebra. By using such a notion, a characterization in terms of induced C*-bundles is given for C*-dynamical systems such that the relative commutant of the fixed-point C*-algebra is minimal (i.e., it is generated by the centre of the given C*-algebra and the centre of the fixed-point C*algebra). A class of examples in the set...

Dynamical Systems on Hilbert C*-Modules

Admissible Vectors of a Covariant Representation of a Dynamical System

In this paper, we introduce admissible vectors of covariant representations of a dynamical system which are extensions of the usual ones, and compare them with each other. Also, we give some sufficient conditions for a vector to be admissible vector of a covariant pair of a dynamical system.  In addition, we show the existence of Parseval frames for some special subspaces of $L^2(G)$ related to...