CORDIS Project
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This project explores the application of set theory to C*-algebras, focusing on the Calkin algebra and its properties. It aims to deepen the understanding of nonseparable C*-algebras and investigate the generalization of classical mathematical theorems in this context.
This proposal develops in the framework of applications of set theory to C*-algebras and it is organized into three main themes: (1) the set-theoretic study of the Calkin algebra, (2) Naimark's problem, (3) the Stone-Weierstrass problem for noncommutative C*-algebras.
The first part of the project consists of a systematic analysis of the class of the C*-algebras which embed into the Calkin algebra and of how set-theoretic principles influence such class.
This study will be achieved by means of f…
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