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Equivariant Novikov conjecture for groups acting on Euclidean buildings

Author(s): Donggeng Gong
Journal: Trans. Amer. Math. Soc. 350 (1998), 2141-2183.
MSC (1991): Primary 46L80; Secondary 55N15, 19K56, 58G12
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Abstract: We prove the equivariant Novikov conjecture for groups acting on Euclidean buildings by using an equivariant Hilsum-Skandalis method. We also obtain an equivariant version of the Connes-Gromov-Moscovici theorem for almost flat $C^{*}$-algebra bundles.

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Additional Information:

Donggeng Gong
Affiliation: Department of Mathematics, University of Chicago, 5734 S. University Ave., Chicago, Illinois 60637
Email: donggeng@math.uchicago.edu

DOI: 10.1090/S0002-9947-98-01990-4
PII: S 0002-9947(98)01990-4
Keywords: Equivariant Novikov conjecture, equivariant signature elements, $C^{*}$-algebra bundles, Euclidean buildings
Received by editor(s): June 27, 1994
Received by editor(s) in revised form: August 9, 1996
Additional Notes: Supported in part by the NSF
Copyright of article: Copyright 1998, American Mathematical Society

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