K-homology and fredholm operators II: Elliptic operators

Paul F. Baum; Erik van Erp

doi:10.4310/PAMQ.2016.v12.n2.a2

K-homology and fredholm operators II: Elliptic operators

Paul F. Baum
, Erik van Erp

Mathematics

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

4 Scopus citations

Abstract

We give a simple and direct proof of the Atiyah-Singer-Kasparov theorem in K-homology, which reduces the full theorem for elliptic operators to the special case of Dirac operators. This is done by proving commutativity of a triangle of abelian groups.

Original language	English (US)
Pages (from-to)	225-241
Number of pages	17
Journal	Pure and Applied Mathematics Quarterly
Volume	12
Issue number	2
DOIs	https://doi.org/10.4310/PAMQ.2016.v12.n2.a2
State	Published - 2016

All Science Journal Classification (ASJC) codes

General Mathematics

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10.4310/PAMQ.2016.v12.n2.a2

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title = "K-homology and fredholm operators II: Elliptic operators",

abstract = "We give a simple and direct proof of the Atiyah-Singer-Kasparov theorem in K-homology, which reduces the full theorem for elliptic operators to the special case of Dirac operators. This is done by proving commutativity of a triangle of abelian groups.",

author = "Baum, \{Paul F.\} and \{van Erp\}, Erik",

year = "2016",

doi = "10.4310/PAMQ.2016.v12.n2.a2",

language = "English (US)",

volume = "12",

pages = "225--241",

journal = "Pure and Applied Mathematics Quarterly",

issn = "1558-8599",

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T1 - K-homology and fredholm operators II

T2 - Elliptic operators

AU - Baum, Paul F.

AU - van Erp, Erik

PY - 2016

Y1 - 2016

N2 - We give a simple and direct proof of the Atiyah-Singer-Kasparov theorem in K-homology, which reduces the full theorem for elliptic operators to the special case of Dirac operators. This is done by proving commutativity of a triangle of abelian groups.

AB - We give a simple and direct proof of the Atiyah-Singer-Kasparov theorem in K-homology, which reduces the full theorem for elliptic operators to the special case of Dirac operators. This is done by proving commutativity of a triangle of abelian groups.

UR - https://www.scopus.com/pages/publications/85041842509

UR - https://www.scopus.com/pages/publications/85041842509#tab=citedBy

U2 - 10.4310/PAMQ.2016.v12.n2.a2

DO - 10.4310/PAMQ.2016.v12.n2.a2

M3 - Article

AN - SCOPUS:85041842509

SN - 1558-8599

VL - 12

SP - 225

EP - 241

JO - Pure and Applied Mathematics Quarterly

JF - Pure and Applied Mathematics Quarterly

IS - 2

ER -

K-homology and fredholm operators II: Elliptic operators

Abstract

All Science Journal Classification (ASJC) codes

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