A Schur multiplier characterization of coarse embeddability
Copyright policy )A Schur multiplier characterization of coarse embeddability
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.
6 pages. Final version. To appear in Bull. Bel. Math. Soc. arXiv admin note: substantial text overlap with arXiv:1408.5238
- Department of Mathematical Sciences Russian Federation
- University of Copenhagen Denmark
- KOBENHAVNS UNIVERSITET Denmark
- University of Copenhagen Denmark
Coarse embedding, Baum-Connes conjecture, \(K\)-theory and operator algebras (including cyclic theory), coarse embedding, Metric Geometry (math.MG), Group Theory (math.GR), Homomorphisms and multipliers of function spaces on groups, semigroups, etc., Mathematics - Metric Geometry, FOS: Mathematics, 43A35, 43A22, Positive definite functions on groups, semigroups, etc., 46L80, Mathematics - Group Theory, Schur multipliers
Coarse embedding, Baum-Connes conjecture, \(K\)-theory and operator algebras (including cyclic theory), coarse embedding, Metric Geometry (math.MG), Group Theory (math.GR), Homomorphisms and multipliers of function spaces on groups, semigroups, etc., Mathematics - Metric Geometry, FOS: Mathematics, 43A35, 43A22, Positive definite functions on groups, semigroups, etc., 46L80, Mathematics - Group Theory, Schur multipliers
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