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The Novikov conjecture and geometry of Banach spaces

Gennadi Kasparov and Guoliang Yu
Geometry & Topology 16 (2012) 1859–1880
DOI: 10.2140/gt.2012.16.1859
Abstract

In this paper, we prove the strong Novikov conjecture for groups coarsely embeddable into Banach spaces satisfying a geometric condition called Property (H).

Keywords
Novikov conjecture, Banach space
Mathematical Subject Classification 2010
Primary: 19K35, 19K56, 46L80
Secondary: 57R55
References
Publication
Received: 21 February 2010
Revised: 30 March 2011
Accepted: 30 June 2012
Published: 27 August 2012
Proposed: Steve Ferry
Seconded: Ralph Cohen, Yasha Eliashberg
Authors
Gennadi Kasparov
Department of Mathematics
1326 Stevenson Center
Vanderbilt University
Nashville TN 37240
USA
Guoliang Yu
Department of Mathematics
Texas A&M University
College Station TX 77843
USA		 Shanghai Center for Mathematical Sciences
Fudan University
Shanghai
China