C⁎-algebras associated with Hilbert C⁎-quad modules of C⁎-textile dynamical systems

Dynamical Systems on Hilbert C*-Modules

C∗-algebras associated with textile dynamical systems

A C∗-symbolic dynamical system (A, ρ,Σ) is a finite family {ρα}α∈Σ of endomorphisms of a C∗-algebra A with some conditions. It yields a C∗-algebra Oρ from an associated Hilbert C∗-bimodule. In this paper, we will extend the notion of C∗-symbolic dynamical system to C∗-textile dynamical system (A, ρ, η,Σ,Σ, κ) which consists of two C∗-symbolic dynamical systems (A, ρ,Σ) and (A, η,Σ) with certain...

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 ...

Hilbert modules over pro-C*-algebras

In this paper, we generalize some results from Hilbert C*-modules to pro-C*-algebra case. We also give a new proof of the known result that l2(A) is aHilbert module over a pro-C*-algebra A.

dynamical systems on hilbert c*-modules