Categories of fractions and excision in KK-theory

Research output: Contribution to journalArticle

18 Citations (Scopus)

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

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KK-theory
C*-algebra
Homology Groups
Cohomology Group
Axioms

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

Cite this

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title = "Categories of fractions and excision in KK-theory",
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.",
author = "Nigel Higson",
year = "1990",
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language = "English (US)",
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Categories of fractions and excision in KK-theory. / Higson, Nigel.

In: Journal of Pure and Applied Algebra, Vol. 65, No. 2, 24.08.1990, p. 119-138.

Research output: Contribution to journalArticle

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