Relative K homology and C* algebras

Paul Baum, Ronald G. Douglas

Research output: Contribution to journalArticle

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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 K0(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 languageEnglish (US)
Pages (from-to)1-46
Number of pages46
JournalK-Theory
Volume5
Issue number1
DOIs
StatePublished - Jan 1 1991

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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