Matteo Pagliero

activity

20232026

collaborators

6 papers

math.OA2026

Unital embeddings of the Jiang--Su algebra are not unique

Matteo Pagliero

We show that the canonical embeddings of the Jiang--Su algebra $Z$ into the universal unital free product $Z *_{C} Z$ are not approximately uni…

math.OA2026

Pureness and stable rank one for reduced twisted group $C^{*}$ -algebras of certain group extensions

Felipe Flores, Mario Klisse, Mícheál Ó Cobhthaigh +1

We present a sufficient condition for a (twisted) group action on a $C^{*}$ -algebra such that the corresponding reduced (twisted) group $C^{*}$ -algebra inclusio…

math.OA2025

Selfless reduced free products and graph products of $C^{*}$ -algebras

Felipe Flores, Mario Klisse, Mícheál Ó Cobhthaigh +1

Under mild assumptions, we show that reduced free products and reduced graph products of $C^{*}$ -algebras are completely selfless, without assuming the rapid decay prop…

math.OA2025

Corona algebras and strongly self-absorbing $C^{*}$ -dynamics

Xiuyuan Li, Matteo Pagliero, Gábor Szabó

This article concerns the structure of $C^{*}$ -algebraic group actions induced on corona algebras from a given $σ$ -unital $C^{*}$ -dynamical system over a lo…

math.OA2024

Continuous actions on primitive ideal spaces lift to $C^{*}$ -actions

Matteo Pagliero

We prove that for any second-countable, locally compact group $G$ , any continuous $G$ -action on the primitive ideal space of a separable, nuclear $C^{*}$ -algebra $B$ su…

math.OA2023

Classification of equivariantly $O_{2}$ -stable amenable actions on nuclear $C^{*}$ -algebras

Matteo Pagliero, Gábor Szabó

Given a second-countable, locally compact group $G$ , we consider amenable $G$ -actions on separable, stable, nuclear $C^{*}$ -algebras that are isometrically shift-absorbin…

Unital embeddings of the Jiang--Su algebra are not unique

Pureness and stable rank one for reduced twisted group C∗-algebras of certain group extensions

Selfless reduced free products and graph products of C∗-algebras

Corona algebras and strongly self-absorbing C∗-dynamics

Continuous actions on primitive ideal spaces lift to C∗-actions

Classification of equivariantly O2​-stable amenable actions on nuclear C∗-algebras

Pureness and stable rank one for reduced twisted group $C^{*}$ -algebras of certain group extensions

Selfless reduced free products and graph products of $C^{*}$ -algebras

Corona algebras and strongly self-absorbing $C^{*}$ -dynamics

Continuous actions on primitive ideal spaces lift to $C^{*}$ -actions

Classification of equivariantly $O_{2}$ -stable amenable actions on nuclear $C^{*}$ -algebras