Relative K-theory for C*-algebras and factor groupoids

Mitch Haslehurst

07-Jun-2021, 14:00-15:00 (3 years ago)

Abstract: It is a reasonable question to ask, given some K-theory data, whether or not there is a groupoid whose C*-algebra has this K-theory data. There has been substantial recent progress on this question, notably Xin Li's construction of Cartan subalgebras in classifiable C*-algebras as well as work of Robin Deeley, Ian Putnam, and Karen Strung via minimal dynamical systems. In this talk I will discuss an approach to this problem using factor groupoids. I will begin with an overview of relative K-theory, which is essential for computational purposes, and proceed to describe some constructions of factor groupoids which provide a degree of control over the K-theory of their C*-algebras.

functional analysisgroup theoryoperator algebrasquantum algebra

Audience: researchers in the topic


Groups, Operators, and Banach Algebras Webinar

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