K-homology and fredholm operators II: Elliptic operators

Paul F. Baum, Erik van Erp

Research output: Contribution to journalArticlepeer-review

1 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 languageEnglish (US)
Pages (from-to)225-241
Number of pages17
JournalPure and Applied Mathematics Quarterly
Volume12
Issue number2
DOIs
StatePublished - 2016

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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