Constructions preserving Hilbert space uniform embeddability of discrete groups

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A notion of geometric complexity and its application to topological rigidity (2010, methodology): “e typical. GEOMETRIC COMPLEXITY AND TOPOLOGICAL RIGIDITY 17 To prove the main result of this section, it is convenient to work with a characterization of Property Aintroduced by Dadarlat and Guentner [DG]. A metric family U= fUgis a cover of a metric space Xif every U2Uis a metric subspace of Xand X”
PROPER ACTIONS OF WREATH PRODUCTS AND GENERALIZATIONS (2009, background): “Actually, Dardalat and Guentner [ DG ] proved that uniform embeddability into”
Uniform embeddability of relatively hyperbolic groups (2005, methodology): “Indeed, if v3w are each a distance n from v0 in T , xv A XvnY and yw A XwnY then dðxv; ywÞfL, again by the formula for the metric on X in [5], Proposition 5.”
Some notes on Property A (2006, methodology): “rom scratch (including the ‘classical’ groups that one often meets ﬁrst in an algebraic treatment of group theory: ﬁnite, abelian, nilpotent, solvable and free groups). Our exposition follows that in [DG03] and [DG06]; another approach, based on the characterisation of property A in 6.1.7 and using ”
The Novikov Conjecture for Linear Groups (2005, background): “A countable discrete group is exact if and only if all of its finitely generated subgroups are exact ([31], [11]).”