P. R. Pinto

activity

20032022

most citedAmenable crossed product Banach algebras associated with a class of

C^{*}

-dynamical systems

4 citations · 8 across the 10 of their papers we have counts for

collaborators

10 papers

math.OA2022

Unifying interval maps and branching systems with applications to relative graph C*-algebras

Carlos Correia Ramos, Daniel Gonçalves, Nuno Martins +1

We describe Markov interval maps via branching systems and develop the theory of relative branching systems, characterizing when the associated representations of relative graph C*…

math.OA2020

Representations of Higman-Thompson groups from Cuntz algebras

Francisco Araújo, Paulo R. Pinto

Every representation of the Cuntz algebra $O_{n}$ leads to a unitary representation of the Higman-Thompson group $V_{n}$ . We consider the family ${π_{x}}_{x \in [0, 1 [}$ of per…

math.OA2018

On graph algebras from interval maps

Carlos Correia Ramos, Nuno Martins, Paulo R. Pinto

We produce and study a family of representations of relative graph algebras on Hilbert spaces that arise from the orbits of points of one dimensional dynamical systems, where the u…

math.OA2018★ 2 cited

The structure of doubly non-commuting isometries

Marcel de Jeu, Paulo R. Pinto

Suppose that $n \geq 1$ and that, for all $i$ and $j$ with $1 \leq i, j \leq n$ and $i \neq = j$ , $z_{ij} \in T$ are given such that $z_{j i} = z_{ij}$ for all $i \neq = j$ .…

math.FA2017

Amenable crossed product Banach algebras associated with a class of $C^{*}$ -dynamical systems. II

Marcel de Jeu, Rachid El Harti, Paulo R. Pinto

We prove that the crossed product Banach algebra $ℓ^{1} (G, A; α)$ that is associated with a $C^{*}$ -dynamical system $(A, G, α)$ is amenable if $G$ is a discrete amenable g…

math.FA2016★ 4 cited

Amenable crossed product Banach algebras associated with a class of $C^{*}$ -dynamical systems