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Relative K homology and C* algebras
Authors:Paul Baum and Ronald G Douglas
Institution:(1) Department of Mathematics, McAllister Building, Penn State University, 16802 University Park, PA, USA;(2) Department of Mathematics, State University of New York at Stony Brook, 11794 Stony Brook, NY, USA
Abstract:Let A be a separable nuclear C + algebra with unit. Let gscr be a closed two-sided ideal in A. A relative K homology group K 0(A,gscr) is defined. Closely related are topological definitions of properly supported K homology and of compactly supported relative K homology. Applications are to indices of Toeplitz operators and existence of coercive boundary conditions for elliptic differential operators.
Keywords:K homology  C* algebra  elliptic operator  C infin manifold with boundary" target="_blank">gif" alt="infin" align="MIDDLE" BORDER="0"> manifold with boundary
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