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Equivariant Novikov conjecture for groups acting on Euclidean buildings
Authors:Donggeng Gong
Institution:Department of Mathematics, University of Chicago, 5734 S. University Ave., Chicago, Illinois 60637
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.

Keywords:Equivariant Novikov conjecture  equivariant signature elements  $C^{*}$-algebra bundles  Euclidean buildings
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