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SUMMARY:C*-rigidity: a bridge between coarse geometry and C*-algebras - Fe
 derico Vigolo (Georg-August-Universität Göttingen)
DTSTART:20250714T104500Z
DTEND:20250714T114500Z
UID:TALK233548@talks.cam.ac.uk
DESCRIPTION:With every proper metric space are associated C*-algebras of s
 pecial geometric importance (Roe algebras)\, originally defined for index-
 theoretic considerations. It is a simple observation that metric spaces th
 at are coarsely equivalent give rise to isomorphic C*-algebras\, and recen
 tly we could prove that the converse also holds. Namely\, a C*-rigidity Th
 eorem shows that spaces with isomorphic Roe algebras must be coarsely equi
 valent. This establishes a strong connection between the categories of coa
 rse spaces and C*-algebras. In this introductory talk I aim to properly in
 troduce the C*-rigidity question and illustrate the roadmap of the proof o
 f rigidity.
LOCATION:Seminar Room 1\, Newton Institute
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