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SUMMARY:Topology Seminar: C*-superrigidiity of nilpotent groups
DTSTART:20180501T101500
DTEND:20180501T113000
DTSTAMP:20260917T070532Z
UID:aa774f8dc84cc9d79673c822956cfee799aede407758cee871159d55
CATEGORIES:Conferences - Seminars
DESCRIPTION:Sven Raum (EPFL)\nIt is a classical problem to recover a discr
 ete group from various rings or algebras associated with it\, such as the 
 integral group ring (cf. the Whitehead group and the Whitehead torsion). B
 y analogy\, in an operator algebraic framework we want to recover torsion-
 free groups from certain topological completions of the complex group ring
 \, such as the reduced group C*-algebra. Groups for which this is possible
  are called C*-superrigid. In recent joint work with Caleb Eckhardt\, we c
 ould prove C*-superrigidity for arbitrary finitely generated\, torsion-fre
 e\, 2-step nilpotent groups by combining K-theoretic methods with certain 
 bundle decompositions of C*-algebras.\n\nIn this talk\, I will introduce t
 he relevant notion of reduced group C*-algebras and put it in the context 
 of the more familiar complex group algebra.  Further\, I will provide a f
 irst motivation to study C*-superrigidity. Then I will discuss our result 
 with Caleb Eckhardt\, focusing on methods that have analogies in topology 
 such as bundle decompositions and topological K-theory. The talk will fini
 sh with a persepective on relevance of C*-superrigidity in other areas of 
 mathematics.
LOCATION:CM 1 113 https://plan.epfl.ch/?room==CM%201%20113
STATUS:CONFIRMED
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