Bivariant K-theory and the Novikov conjecture

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Abstract

Kasparov's bivariant K-theory is used to prove two theorems concerning the Novikov higher signature conjecture. The first generalizes a result of J. Roe and the author on amenable group actions. The second is a C*-algebraic counterpart of a theorem of G. Carlsson and E. Pedersen.

Original languageEnglish (US)
Pages (from-to)563-581
Number of pages19
JournalGeometric and Functional Analysis
Volume10
Issue number3
DOIs
StatePublished - Jan 1 2000

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All Science Journal Classification (ASJC) codes

  • Analysis
  • Geometry and Topology

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