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Journals and Conferences
We explain how to adapt a construction of M. Sageev’s to construct a proper action on a CAT(0) cube complex starting from a proper action on a wall space.
We explain simple methods to establish the property of Rapid Decay for a number of groups arising geometrically. Those lead to new examples of groups with the property of Rapid Decay, notably… (More)
We prove that the Bost Conjecture on the `-assembly map for countable discrete groups implies the Bass Conjecture. It follows that all amenable groups satisfy the Bass Conjecture.
For a locally compact group, the property of rapid decay (property RD) gives a control on the convolutor norm of any compactly supported function in terms of its L2-norm and the diameter of its… (More)
We prove the existence of a close connection between spaces with measured walls and median metric spaces. We then relate properties (T) and Haagerup (a-T-menability) to actions on median spaces and… (More)
We apply V. Lafforgue’s techniques to establish property (RD) for cocompact lattices in a finite product of rank one Lie groups with Lie groups whose restricted root system is of type A2. We recall… (More)
A geodesic metric space is δ-hyperbolic in the sense of Gromov if and only if the intersection of any two metric balls is almost a ball. In particular, R-trees can be characterised by the property… (More)
We define a transfer map in the setting of bounded cohomology with certain metric G-module coefficients. As an application, we extend a theorem on the comparison map from Borelbounded to Borel… (More)
In this paper we propose cryptosystems based on subgroup distortion in hyperbolic groups. We also include concrete examples of hyperbolic groups as possible platforms.