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SUMMARY:Rigidity of uniform Roe algebras - Kostyantyn Krutoy (Université 
 Paris Cité)
DTSTART:20250703T110000Z
DTEND:20250703T110500Z
UID:TALK233830@talks.cam.ac.uk
DESCRIPTION:In this short talk\, we will introduce uniform Roe algebras of
  uniformly locally finite metric spaces as a bridging tool between coarse 
 geometry and operator algebras. We will formulate the (bijective) rigidity
  problem for uniform Roe algebras and provide its homological characterisa
 tion in terms of injectivity of the comparison map from homology of ample 
 groupo&iuml\;ds introduced by Crainic and Moerdijk to the K-theory of unif
 orm Roe algebra.
LOCATION:External
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