Categories of fractions and excision in KK-theory

Nigel Higson

doi:10.1016/0022-4049(90)90114-W

Categories of fractions and excision in KK-theory

Nigel Higson

Research output: Contribution to journal › Article › peer-review

20 Scopus citations

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 language	English (US)
Pages (from-to)	119-138
Number of pages	20
Journal	Journal of Pure and Applied Algebra
Volume	65
Issue number	2
DOIs	https://doi.org/10.1016/0022-4049(90)90114-W
State	Published - Aug 24 1990

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

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10.1016/0022-4049(90)90114-W

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AB - 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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JF - Journal of Pure and Applied Algebra

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Categories of fractions and excision in KK-theory

Abstract

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