Relative K homology and C* algebras

Paul Frank Baum, Ronald G. Douglas

Research output: Contribution to journalArticle

19 Citations (Scopus)

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

Fingerprint

K-homology
C*-algebra
Homology Groups
Toeplitz Operator
Elliptic Operator
Differential operator
Boundary conditions
Closed
Unit

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

Baum, Paul Frank ; Douglas, Ronald G. / Relative K homology and C* algebras. In: K-Theory. 1991 ; Vol. 5, No. 1. pp. 1-46.
@article{5069970fb2934478bd60f4cd90e9d15a,
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 = "Baum, {Paul Frank} and Douglas, {Ronald G.}",
year = "1991",
month = "1",
day = "1",
doi = "10.1007/BF00538877",
language = "English (US)",
volume = "5",
pages = "1--46",
journal = "K-Theory",
issn = "0920-2036",
publisher = "Kluwer Academic Publishers",
number = "1",

}

Relative K homology and C* algebras. / Baum, Paul Frank; Douglas, Ronald G.

In: K-Theory, Vol. 5, No. 1, 01.01.1991, p. 1-46.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Relative K homology and C* algebras

AU - Baum, Paul Frank

AU - Douglas, Ronald G.

PY - 1991/1/1

Y1 - 1991/1/1

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 - http://www.scopus.com/inward/record.url?scp=0039164608&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0039164608&partnerID=8YFLogxK

U2 - 10.1007/BF00538877

DO - 10.1007/BF00538877

M3 - Article

AN - SCOPUS:0039164608

VL - 5

SP - 1

EP - 46

JO - K-Theory

JF - K-Theory

SN - 0920-2036

IS - 1

ER -