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august 2015 A Schur multiplier characterization of coarse embeddability
Søren Knudby, Kang Li
Bull. Belg. Math. Soc. Simon Stevin 22(3): 403-409 (august 2015). DOI: 10.36045/bbms/1442364587

Abstract

We give a contractive Schur multiplier characterization of locally compact groups coarsely embeddable into Hilbert spaces. Consequently, all locally compact groups whose weak Haagerup constant is 1 embed coarsely into Hilbert spaces, and hence the Baum-Connes assembly map with coefficients is split-injective for such groups.

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Søren Knudby. Kang Li. "A Schur multiplier characterization of coarse embeddability." Bull. Belg. Math. Soc. Simon Stevin 22 (3) 403 - 409, august 2015. https://doi.org/10.36045/bbms/1442364587

Information

Published: august 2015
First available in Project Euclid: 16 September 2015

zbMATH: 1334.43004
MathSciNet: MR3396991
Digital Object Identifier: 10.36045/bbms/1442364587

Subjects:
Primary: 43A22 , 43A35 , 46L80

Keywords: Baum-Connes conjecture , Coarse embedding , Schur multipliers

Rights: Copyright © 2015 The Belgian Mathematical Society

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Vol.22 • No. 3 • august 2015
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