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Paolo Piazza - Microlocal and Global Analysis, ...

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Paolo Piazza - Microlocal and Global Analysis, Interactions with Geometry

K-theory classes of Dirac-type operators on stratifed pseudo manifolds.

Let G be a discrete group and let X be a G-Galois covering with quotient X=G, a smooth compact
manifold. Given a G-equivariant operator of Dirac-type one can define a K-homology class in the equivariant K-
homology of X and an index class in the K-theory of the reduced C*-algebra of G. If the operator is L2-invertible,
then we also have a rho class. In this talk, extending previous joint results with Pierre Albin and with Vito Zenobi,
I will report on recent work with Pierre Albin and Jesse Gell-Redman addressing the existence of these classes for a
general Dirac-type operator on (the regular part of) a stratifed pseudomanifold.

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Hochgeladen von: ZIM Multimediaproduktion
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Hinzugefügt am: 10 Sep 2019
Mehr in: Öffentlich - Mathematik
Dauer: 00:40:57
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