On almost commuting matrices

Abstract: Questions of whether almost commuting matrices are necessarily close to commuting ones are old. They are reformulated using $C^*$-algebra theory and have somewhat topological nature. We investigate which relations for families of commuting matrices are stable under small perturbations and give some applications. Joint work with Dominic Enders.

geometric topologynumber theoryoperator algebrasrepresentation theory

Audience: researchers in the topic

( paper | video )

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Noncommutative geometry in NYC

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