Generalized asymptotic algebras and E-theory for non-separable C*-algebras

Abstract: Many common ad hoc definitions of bivariant K-theory for non-separable C*-algebras have some kind of drawback, usually that one cannot expect the long exact sequences to hold in full generality. I will present a way to define E-theory for non-separable C*-algebras without such disadvantages via a generalized notion of asymptotic algebras. There is indication that canonical cycles of this new model might arise naturally in index theory on infinite dimensional manifolds.

geometric topologynumber theoryoperator algebrasrepresentation theory

Audience: researchers in the topic

( paper | slides | video )

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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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