### 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 | |

State | Published - Aug 24 1990 |

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### All Science Journal Classification (ASJC) codes

- Algebra and Number Theory

### Cite this

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*Journal of Pure and Applied Algebra*, vol. 65, no. 2, pp. 119-138. https://doi.org/10.1016/0022-4049(90)90114-W

**Categories of fractions and excision in KK-theory.** / Higson, Nigel.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Categories of fractions and excision in KK-theory

AU - Higson, Nigel

PY - 1990/8/24

Y1 - 1990/8/24

N2 - 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.

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.

UR - http://www.scopus.com/inward/record.url?scp=38249018512&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=38249018512&partnerID=8YFLogxK

U2 - 10.1016/0022-4049(90)90114-W

DO - 10.1016/0022-4049(90)90114-W

M3 - Article

VL - 65

SP - 119

EP - 138

JO - Journal of Pure and Applied Algebra

JF - Journal of Pure and Applied Algebra

SN - 0022-4049

IS - 2

ER -