Mapping surgery to analysis I: Analytic signatures

Nigel Higson, John Roe

Research output: Contribution to journalArticlepeer-review

28 Scopus citations

Abstract

We develop the theory of analytically controlled Poincaré complexes over C*-algebras. We associate a signature in C *-algebra K-theory to such a complex, and we show that it is invariant under bordism and homotopy

Original languageEnglish (US)
Pages (from-to)277-299
Number of pages23
JournalK-Theory
Volume33
Issue number4
DOIs
StatePublished - Dec 2004

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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