Some Remarks on Group Bundles and dynamical C*-systems

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...

Dilations for $C^ast$-dynamical systems with abelian groups on Hilbert $C^ast$-modules

‎In this paper we investigate the dilations of completely positive definite representations‎ ‎of (C^ast)-dynamical systems with abelian groups on Hilbert (C^ast)-modules‎. ‎We show that if ((mathcal{A}‎, ‎G,alpha)) is a (C^ast)-dynamical system with (G) an abelian group‎, ‎then every completely positive definite covariant representation ((pi,varphi,E)) of ((mathcal{A}‎, ‎G,alpha)) on a Hilbert ...

On Two-parameter Dynamical Systems and Applications

In this note some useful properties of strongly continuous two-parameter semigroups of operators are studied, an exponential formula for two-parameter semigroups of operators on Banach spaces is obtained and some applied examples of two-parameter dynamical systems are discussed

Dynamical Systems on Hilbert C*-Modules