Paolo Piazza - Microlocal and Global Analysis, ...
- Keine verknüpften Dateien vorhanden
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.