Let $\mathcal A$ be a unital $C^*$-algebra. We consider Jordan $*$-homomorphisms on $C(X, \mathcal A)$ and Lip$(X,\mathcal A)$. More precisely, for any $C^*$-algebra A$, we prove that every $*$-homomorph

We investigate how a C*-algebra could consist of functions on a noncommutative set: a discretization of a C*-algebra A is a ∗-homomorphism A → M that factors through the canonical inclusion C(X) ⊆ `∞(X) when restricted to a commutative C*-subalgebra. Any C*-algebra admits an injective but nonfunctorial discretization, as well as a possibly noninjective functorial discretization, where M is a C*...

We give the nuclear analogue of Dadarlat’s characterization of exact quasidiagonal C∗-algebras. Specifically, we prove the following: Theorem 0.1. Let A be a unital separable simple C∗-algebra. Then the following conditions are equivalent: i) A is nuclear and quasidiagonal. ii) A has the stabilization principle. iii) If π : A → M(A ⊗ K) is a unital, purely large ∗-homomorphism, then the image π...

We show that every groupoid C*-algebra is isomorphic to its opposite, and deduce there exist C*-algebras are not stably C*-algebras, though many of them twisted C*-algebras. also prove the opposite algebra a section Fell bundle over natural bundle.

let $a$ be an arbitrary banach algebra and $varphi$ a homomorphism from $a$ onto $bbb c$. our first purpose in this paper is to give some equivalent conditions under which guarantees a $varphi$-mean of norm one. then we find some conditions under which there exists a $varphi$-mean in the weak$^*$ cluster of ${ain a; |a|=varphi(a)=1}$ in $a^{**}$.

In this paper we introduce a generalization of Meir-Keeler contraction forrandom mapping T : Ω×C → C, where C be a nonempty subset of a Banachspace X and (Ω,Σ) be a measurable space with being a sigma-algebra of sub-sets of. Also, we apply such type of random fixed point results to prove theexistence and unicity of a solution for an special random integral equation.

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...

Let \({\mathbb{M}}=P\times {M}\) be a variable Mautner group. We describe the \(C^*\)-algebra \(C^*({\mathbb{M}})\) of \({\mathbb{M}}\) in terms an algebra operator fields defined over \(P\times {{\mathbb{C}}^2} .\)