Equivariant Novikov conjecture for groups acting on Euclidean buildings
Author:
Donggeng Gong
Journal:
Trans. Amer. Math. Soc. 350 (1998), 2141-2183
MSC (1991):
Primary 46L80; Secondary 55N15, 19K56, 58G12
DOI:
https://doi.org/10.1090/S0002-9947-98-01990-4
MathSciNet review:
1433118
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Abstract | References | Similar Articles | Additional Information
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 -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:
https://doi.org/10.1090/S0002-9947-98-01990-4
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
Article copyright:
© Copyright 1998
American Mathematical Society