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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48 .

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Equivariant Novikov conjecture for groups acting on Euclidean buildings
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by Donggeng Gong
Trans. Amer. Math. Soc. 350 (1998), 2141-2183
DOI: https://doi.org/10.1090/S0002-9947-98-01990-4

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.
References
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Bibliographic Information
  • Donggeng Gong
  • Affiliation: Department of Mathematics, University of Chicago, 5734 S. University Ave., Chicago, Illinois 60637
  • Email: donggeng@math.uchicago.edu
  • 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 1998 American Mathematical Society
  • 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