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SUMMARY:Bernhard Burgstaller (Universidade Federal de Santa Catarina)
DTSTART:20210728T190000Z
DTEND:20210728T200000Z
DTSTAMP:20260420T052725Z
UID:NYC-NCG/65
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NYC-NCG/65/"
 >A kind of KK-theory of rings</a>\nby Bernhard Burgstaller (Universidade F
 ederal de Santa Catarina) as part of Noncommutative geometry in NYC\n\n\nA
 bstract\nA group equivariant $KK$-theory\nfor rings will be defined and st
 udied\nin analogy to Kasparov's $KK$-theory for\n$C^*$-algebras.\nIt is a 
 kind of linearization of the category\nof rings by allowing addition of ho
 momorphisms\, imposing also homotopy invariance\, invertibility of matrix 
 corner embeddings\,\nand allowing morphisms which are the opposite split o
 f split exact sequences.\nWe demonstrate the potential of this theory\nby 
 proving for example equivalence induced by Morita equivalence\nand a Green
 -Julg isomorphism in this framework.\n
LOCATION:https://researchseminars.org/talk/NYC-NCG/65/
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