Relative K homology and C* algebras

Paul Baum; Ronald G. Douglas

doi:10.1007/BF00538877

Relative K homology and C^* algebras

Paul Baum
, Ronald G. Douglas

Mathematics

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

22 Scopus citations

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 language	English (US)
Pages (from-to)	1-46
Number of pages	46
Journal	K-Theory
Volume	5
Issue number	1
DOIs	https://doi.org/10.1007/BF00538877
State	Published - Jan 1991

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1007/BF00538877

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title = "Relative K homology and C* algebras",

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.",

author = "Paul Baum and Douglas, \{Ronald G.\}",

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N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/0039164608

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U2 - 10.1007/BF00538877

DO - 10.1007/BF00538877

M3 - Article

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SN - 0920-3036

VL - 5

SP - 1

EP - 46

JO - K-Theory

JF - K-Theory

IS - 1

ER -

Relative K homology and C^* algebras

Abstract

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