(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 be a closed two-sided ideal in A. A relative K homology group K0(A,) 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.