Resumen de Asymptotic morphisms, K-homology and Dirac operators

Dorin Dumitrascu

• Using asymptotic morphisms between graded C*-algebras, we construct for every open m-dimensional spin manifold M a fundamental class in the m-th analytic K-homology group of M. This class is associated to the not necessarily essentially self-adjoint Dirac operator on M. A careful treatment is given of the main properties of these fundamental K-homology classes.