Categories of fractions and excision in KK-theory

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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.

Original languageEnglish (US)
Pages (from-to)119-138
Number of pages20
JournalJournal of Pure and Applied Algebra
Volume65
Issue number2
DOIs
StatePublished - Aug 24 1990

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

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