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Uniformly bounded representations and exact groups
Authors:Kate Juschenko  Piotr W. Nowak
Affiliation:1. Vanderbilt University, Department of Mathematics, 1326 Stevenson Center, Nashville, TN 37240, USA;2. Instytut Matematyczny Polskiej Akademii Nauk, ?niadeckich 8, 00-956 Warszawa, Poland;3. Instytut Matematyki, Uniwersytet Warszawski, Banacha 2, 02-097 Warszawa, Poland
Abstract:We characterize groups with Guoliang Yu?s property A (i.e., exact groups) by the existence of a family of uniformly bounded representations which approximate the trivial representation.
Keywords:Property A   Uniformly bounded representation   Exact groups   Fell topology
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