
We explicit Ozawa kernels for classical group theoretical constructions, for discrete metric spaces of finite asymptotic dimension, of large enough Hilbert space compression, and for suitable actions of countable groups on metric spaces. We also obtain an alternative proof of stability results concerning Yu's property A.
17 pages
20E06, 43A35; 20F65; 46L80; 20E06, Property A, Mathematics - Operator Algebras, Group Theory (math.GR), 510, Positive definite kernels, FOS: Mathematics, 43A35, 20F65, Operator Algebras (math.OA), Mathematics - Group Theory, 46L80, Analysis, ddc: ddc:510
20E06, 43A35; 20F65; 46L80; 20E06, Property A, Mathematics - Operator Algebras, Group Theory (math.GR), 510, Positive definite kernels, FOS: Mathematics, 43A35, 20F65, Operator Algebras (math.OA), Mathematics - Group Theory, 46L80, Analysis, ddc: ddc:510
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