Riemannian geometries
Oct, 2000Citations per year
Abstract:
This paper discusses a non-commutative version of the fundamental class of a smooth closed Riemannian manifold, no spin structure assumed. The formulation uses Connes' non-comm. geometry, Kasparov's KK-theory and the standard theory of von Neumann algebras. Using an axiom scheme based on the spin case, Riemannian manifolds are recovered when the algebra in question is commutative.References(10)
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