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Relative K-homology and K-homology of an ideal
Authors:G G Kasparov
Institution:(1) The Institute of Chemical Physics, 142432 Chernogolovka, Moscow Region, USSR
Abstract:We provide a straightforward proof of one of the main results of the Baum-Douglas K-homology theory: If A is a separable nuclear C *-algebra and I an ideal of A, then the natural restriction map K 0(A, I) rarr K 0(I) is an isomorphism of Abelian groups.
Keywords:Separable nuclear C *-algebra  relative K-homology  K-homology of an ideal
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