For the C∗-crossed product C∗(Σ) associated with an arbitrary topological dynamical
system Σ=(X, σ), we provide a detailed analysis of the commutant, in C∗(Σ), of C (X) and the …

For dynamical systems defined by a covering map of a compact Hausdorff space and the
corresponding transfer operator, the associated crossed product C*-algebras C (X)⋊ α, ℒ ℕ …

Given a topological dynamical system Σ=(X, σ), where X is a compact Hausdorff space and σ
a homeomorphism of X, we introduce the Banach⁎-algebra crossed product ℓ1 (Σ) most …

In this paper we consider algebras of functions that are constant on the sets of a partition.
We describe the crossed product algebras of the mentioned algebras with ZZ We show that …

In this article, using orbits of the dynamical system generated by the function F, operator
representations of commutation relations XX*= F (X* X) and AB= BF (A) are studied and …

In this paper we consider crossed product algebras of algebras of piece-wise constant
functions on the real line with Z Z. For an increasing sequence of algebras (in which case …

These notes are an introduction to group actions on C*-algebras and their crossed products,
primarily by discrete groups and with emphasis on situations in which the crossed products …

In this work, we present methods for constructing representations of polynomial covariance
type commutation relations AB= BF (A) by linear integral operators in Banach spaces L p …

The aim of this paper is to describe necessary and sufficient conditions for simplicity of Ore
extension rings, with an emphasis on differential polynomial rings. We show that a …

Representations of polynomial covariance commutation relations by pairs of linear integral
and differential operators are constructed in the space of infinitely continuously differentiable …