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arxiv: math/0309166 · v1 · submitted 2003-09-09 · 🧮 math.OA · math.GR

Exactness and uniform embeddability of discrete groups

classification 🧮 math.OA math.GR
keywords groupalgebradefinedifferencediscreteembeddabilityembeddableexact
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We define a numerical quasi-isometry invariant of a finitely generated group, whose values parametrize the difference between the group being uniformly embeddable in a Hilbert space and the reduced C*-algebra of the group being exact.

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