### Abstract

Let A be a separable nuclear C^{+} algebra with unit. Let g{script} be a closed two-sided ideal in A. A relative K homology group K^{0}(A,g{script}) is defined. Closely related are topological definitions of properly supported K homology and of compactly supported relative K homology. Applications are to indices of Toeplitz operators and existence of coercive boundary conditions for elliptic differential operators.

Original language | English (US) |
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Pages (from-to) | 1-46 |

Number of pages | 46 |

Journal | K-Theory |

Volume | 5 |

Issue number | 1 |

DOIs | |

State | Published - Jan 1 1991 |

### All Science Journal Classification (ASJC) codes

- Mathematics(all)

## Fingerprint Dive into the research topics of 'Relative K homology and C<sup>*</sup> algebras'. Together they form a unique fingerprint.

## Cite this

Baum, P., & Douglas, R. G. (1991). Relative K homology and C

^{*}algebras.*K-Theory*,*5*(1), 1-46. https://doi.org/10.1007/BF00538877