Rigidity of Roe-like algebras

Abstract: In the late 80s John Roe defined a family of C*-algebras capable of detecting coarse geometric properties of metric spaces in operator algebraic terms; these are called Roe-like algebras. It is fairly elementary to show that if two metric spaces look the same in coarse geometric terms, that is, if they are (bijectively) coarsely equivalent, then the associated Roe-like algebras are isomorphic. In this talk, we investigate the converse implications, trying to extract geometric information from algebraic data.

geometric topologynumber theoryoperator algebrasrepresentation theory

Audience: researchers in the topic

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Noncommutative geometry in NYC

Series comments: Noncommutative Geometry studies an interplay between spatial forms and algebras with non-commutative multiplication. Our seminar welcomes talks in Number Theory, Geometric Topology and Representation Theory linked to the context of Operator Algebras. All talks are kept at the entry-level accessible to the graduate students and non-experts in the field. To join us click meet.google.com/zjd-ehrs-wtx (5 min in advance) and igor DOT v DOT nikolaev AT gmail DOT com to subscribe/unsubscribe for the mailing list, to propose a talk or to suggest a speaker. Pending speaker's consent, we record and publish all talks at the hyperlink "video" on speaker's profile at the "Past talks" section. The slides can be posted by providing the organizers with a link in the format "myschool.edu/~myfolder/myslides.pdf". The duration of talks is 1 hour plus or minus 10 minutes.

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