KK-theory and equivariant index on non-compact manifolds

Rudy Rodsphon  (Northeastern University)

10:00-12:00, July 2, 2019   Science Building A510


The goal of the talk is to offer a KK-theoretic perspective on a work of M. Braverman, about the index theory of a class perturbed Dirac-type operators on non-compact manifolds equipped with the action of a compact Lie group. We revisit his main theorems by providing a KK-product factorization of this index, and a conceptual explanation of its relationship to the equivariant index of transversally elliptic operators. This is joint work with Y. Loizides and Y. Song.

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