A. Vignati

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20172022

C^{*}

-algebras: set theoretical dichotomies in the theory of continuous quotients

6 citations · 6 across the 6 of their papers we have counts for

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math.LO2022

Games on AF-algebras

Ben De Bondt, Andrea Vaccaro, Boban Velickovic +1

We analyze $C^{*}$ -algebras, particularly AF-algebras, and their $K_{0}$ -groups in the context of the infinitary logic $L_{ω_{1} ω}$ . Given two separable unital AF-…

math.LO2021

Non-vanishing higher derived limits

Boban Velickovic, Alessandro Vignati

In the study of strong homology Mardešić and Prasolov isolated a certain inverse system of abelian groups $A$ indexed by elements of $ω^{ω}$ . They showed that if strong homol…

math.LO2017★ 6 cited

Logic and $C^{*}$ -algebras: set theoretical dichotomies in the theory of continuous quotients

Alessandro Vignati

Given a nonunital $C^{*}$ -algebra $A$ one constructs its corona algebra $M (A) / A$ . This is the noncommutative analog of the Čech-Stone remainder of a topological spa…

Games on AF-algebras

Non-vanishing higher derived limits

Logic and C∗-algebras: set theoretical dichotomies in the theory of continuous quotients

Logic and $C^{*}$ -algebras: set theoretical dichotomies in the theory of continuous quotients