Authors: Nigel Higson
Title: Categories of fractions and excision in KK-theory
Publication Information: J. Pure and Appl. Algebra, 65 (1990), 119-138
Abstract: Using elementary ideas from the theory of categories of fractions, we construct bivariant homology/cohomology groups E(A,B) for C*-algebras which satisfy general excision axioms and are equal to Kasparov's groups KK(A,B) for nuclear (or more generally K-nuclear) C*-algebras.

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