Välkommen till en föreläsning i seminarieserien i matematik.
Föreläsare/Lecturer
Stefan Wagner
Titel/Title
Kaplansky’s idempotent conjecture for complex group rings
Sammanfattning/Abstract
Group rings are very interesting algebraic structures with multiple connections with such diverse fields as homological algebra, algebraic topology, and operator algebras. More recently, they have also found applications in algebraic coding theory. In this talk we will discuss Kaplansky’s idempotent conjecture for complex group rings, namely whether the complex group ring of a torsion-free group only contains trivial idempotents. A problem that has regained interest, mainly due to its intimate connection with the Baum-Connes conjecture in operator algebras.
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