Hasil untuk "math.OA"

Panchugopal Bikram

In this article, we show that the mixed $q$-deformed Araki-Woods von Neumann algebra $Γ_T(H_\R, U_t)^{\prime\prime}$ has trivial bicentralizer, whenever it is of type $\mathrm{III}_1$.

Leonel Robert

We obtain a characterization of the unital C*-algebras with the property that every element is a limit of products of positive elements, thereby answering a question of Murphy and Phillips.

Hui Li

We describe the Jacobson topology of the primitive ideal space of self-similar k-graph C*-algebras under certain conditions.

Yusuke Sawada

We study conditions for which the correspondence between quasi-free states on self-dual CAR algebras and covariant operators is affine.

Erling Størmer

We prove two extension theorems for positive maps from operator systems into matrix algebras

Bernhard Burgstaller

We explore the connection between ring homomorphisms and semigroup homomorphisms on matrix algebras over rings or $C^*$-algebras.

Christopher Schafhauser

Let $E$ be a countable directed graph. We show that $C^*(E)$ is AF-embeddable if and only if no loop in $E$ has an entrance. The proof is constructive and is in the same spirit as the Drinen-Tomforde desingularization.

A. A. Alimov

We study order and topological properties of the non-commutative Arens algebra associated with arbitrary Maharam trace.

Vahid Shirbisheh

We correct an error in the article "Property (RD) for Hecke pairs".

Vladimir Chilin, Botir Zakirov

Non-commutative $L_p$-spaces $L^p(M,Φ)$ associated with the Maharam trace are defined and their dual spaces are described.

Junhao Shen

In the paper, we discuss orthogonal polynomials in free probability theory. Especially, we prove an analogue of of Szego's limit theorem in free probability theory.

Bin Meng

In this paper, we characterize rank one preserving module maps on a Hilbert $C^\ast-$module and study its applications on free probability theory.

Ronald G. Douglas

We determine the ideal structure of the Toeplitz C*-algebra on the bidisk.

A. V. Lebedev

In this paper we investigate the interrelation between the topological freedom of partial actions of discrete groups and faithful representations of partial crossed products.

Hiromichi Ohno

We prove that the mean entropy and the dynamical entropy are equal for generalized quantum Markov chains on gauge-invariant $C^*$-algebras.

Erling Stormer

The paper is a survey of dynamical entropy of automorphisms of operator algebras. We describe the different entropies of Connes-Stormer, Connes-Narnhofer-Thirring, Sauvageot-Thouvenot, and Voiculescu, and discuss the main examples of the theory.

Nikolay A Ivanov

We find a necessary and sufficient conditions for the simplicity and uniqueness of trace for reduced free products of finite families of finite dimensional $C^*$-algebras with specified traces on them.

Bouchta Bouali

In this paper, we discuss when Aut($\cal A$) and Homeo(Prim($\cal A$)) are homeomorphic, where $\cal A$ is a $C^*$-algebra.

Ilwoo Cho

In this paper, we consider the relation between the group freeness and the amalgamated freeness of crossed product algebras.

Marjan Matvejchuk

We characterize the connection between closed and $σ$-finite measures on orthogonal projections of von Neumann algebras.