Asymptotic morphisms, K-homology and Dirac operators

• Autores: Dorin Dumitrascu
• Localización: Pacific journal of mathematics, ISSN 0030-8730, Vol. 218, Nº 1, 2005, págs. 53-74
• Idioma: inglés
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• Resumen

  • 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.