Mapping surgery to analysis I: Analytic signatures

Nigel Higson; John Roe

doi:10.1007/s10977-005-1561-8

Mapping surgery to analysis I: Analytic signatures

Nigel Higson, John Roe

Research output: Contribution to journal › Article

21 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 language	English (US)
Pages (from-to)	277-299
Number of pages	23
Journal	K-Theory
Volume	33
Issue number	4
DOIs	https://doi.org/10.1007/s10977-005-1561-8
State	Published - Dec 1 2004

All Science Journal Classification (ASJC) codes

Mathematics(all)

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Higson, N., & Roe, J. (2004). Mapping surgery to analysis I: Analytic signatures. K-Theory, 33(4), 277-299. https://doi.org/10.1007/s10977-005-1561-8

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abstract = "We develop the theory of analytically controlled Poincar{\'e} 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",

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