# Constructions preserving Hilbert space uniform embeddability of discrete groups

@article{Dadarlat2003ConstructionsPH, title={Constructions preserving Hilbert space uniform embeddability of discrete groups}, author={Marius Dadarlat and Erik Guentner}, journal={Transactions of the American Mathematical Society}, year={2003}, volume={355}, pages={3253-3275} }

Uniform embeddability (in a Hilbert space), introduced by Gromov, is a geometric property of metric spaces. As applied to countable discrete groups, it has important consequences for the Novikov conjecture. Exactness, introduced and studied extensively by Kirchberg and Wassermann, is a functional analytic property of locally compact groups. Recently it has become apparent that, as properties of countable discrete groups, uniform embeddability and exactness are closely related. We further…

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