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Exactness and Uniform Embeddability of Discrete Groups
Author(s) -
Guentner Erik,
Kaminker Jerome
Publication year - 2004
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/s0024610704005897
Subject(s) - mathematics , hilbert space , invariant (physics) , pure mathematics , isometry (riemannian geometry) , finitely generated abelian group , discrete space , group (periodic table) , discrete mathematics , mathematical analysis , physics , mathematical physics , quantum mechanics
A numerical quasi‐isometry invariant R (Γ) of a finitely generated group Γ is defined whose values parametrize the difference between Γ being uniformly embeddable in a Hilbert space andC r * (Γ) being exact.
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