Conjugate Dynamical Systems on C*-algebras

Conjugate Dynamical Systems on C*-algebras

Let (A,α) and (B, β) be C*-dynamical systems where α and β are arbitrary ∗-endomorphisms. When α is injective or surjective, we show that the semicrossed products A ×α Z+ and B ×β Z+ are isometrically isomorphic if and only if (A,α) and (B, β) are outer conjugate. This conclusion also holds in various other cases as well.

jordan c-dynamical systems

in the first chapter we study the necessary background of structure of commutators of operators and show what the commutator of two operators on a separable hilbert space looks like. in the second chapter we study basic property of jb and jb-algebras, jc and jc-algebras. the purpose of this chapter is to describe derivations of reversible jc-algebras in term of derivations of b (h) which are we...

Dynamical Systems on Hilbert C*-Modules

Partial Dynamical Systems and Af C * -algebras

We obtain a characterization in terms of dynamical systems of those r-discrete groupoids for which the groupoid C∗algebra is approximately finite-dimensional (AF). These ideas are then used to compute the K-theory for AF algebras by utilizing the actions of these partial homeomorphisms, and these K-theoretic calculations are applied to some specific examples of AF algebras. Finally, we show tha...

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...