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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.

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Authors and Affiliations

  1. Department of Mathematics, The Pennsylvania State University, University Park, PA 16802, USA, e-mail: higson@math.psu.edu<\EAD>, , , , , , US

    N. Higson

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  1. N. Higson
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Submitted: October 1998.

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Higson, N. Bivariant K-theory and the Novikov conjecture . GAFA, Geom. funct. anal. 10, 563–581 (2000). https://doi.org/10.1007/PL00001630

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  • DOI: https://doi.org/10.1007/PL00001630

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