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SUMMARY:Mitch Haslehurst
DTSTART:20210607T140000Z
DTEND:20210607T150000Z
DTSTAMP:20260423T035754Z
UID:GOBA/29
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GOBA/29/">Re
 lative K-theory for C*-algebras and factor groupoids</a>\nby Mitch Haslehu
 rst as part of Groups\, Operators\, and Banach Algebras Webinar\n\n\nAbstr
 act\nIt is a reasonable question to ask\, given some K-theory data\, wheth
 er or not there is a groupoid whose C*-algebra has this K-theory data. The
 re has been substantial recent progress on this question\, notably Xin Li'
 s construction of Cartan subalgebras in classifiable C*-algebras as well a
 s work of Robin Deeley\, Ian Putnam\, and Karen Strung via minimal dynamic
 al 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\, whi
 ch is essential for computational purposes\, and proceed to describe some 
 constructions of factor groupoids which provide a degree of control over t
 he K-theory of their C*-algebras.\n
LOCATION:https://researchseminars.org/talk/GOBA/29/
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