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Strongly Bounded Groups and Infinite Powers of Finite Groups

- Yves Cornulier
- Mathematics
- 21 November 2004

We define a group as strongly bounded if every isometric action on a metric space has bounded orbits. This latter property is equivalent to the so-called uncountable strong cofinality, recently… Expand

Amenable hyperbolic groups

- P. Caprace, Yves Cornulier, N. Monod, R. Tessera
- Mathematics
- 16 February 2012

We give a complete characterization of the locally compact groups that are nonelementary Gromov-hyperbolic and amenable. They coincide with the class of mapping tori of discrete or continuous… Expand

Isometric Group Actions on Hilbert Spaces: Growth of Cocycles

- Yves Cornulier, R. Tessera, A. Valette
- Mathematics
- 22 September 2005

Abstract.We study growth of 1-cocycles of locally compact groups, with values in unitary representations. Discussing the existence of 1-cocycles with linear growth, we obtain the following… Expand

PROPER ACTIONS OF WREATH PRODUCTS AND GENERALIZATIONS

- Yves Cornulier, Yves Stalder, A. Valette
- Mathematics
- 25 May 2009

We study stability properties of the Haagerup property and of coarse embeddability in a Hilbert space, under certain semidirect products. In particular, we prove that they are stable under taking… Expand

Normal subgroups in the Cremona group

- Serge Cantat, St'ephane Lamy, Yves Cornulier
- Mathematics
- 6 July 2010

Let k be an algebraically closed field. We show that the Cremona group of all birational transformations of the projective plane $$ \mathbb{P}_{\mathbf{k}}^2 $$ is not a simple group. The strategy… Expand

RELATIVE KAZHDAN PROPERTY

- Yves Cornulier
- Mathematics
- 10 May 2005

Abstract We perform a systematic investigation of Kazhdan's relative Property (T) for pairs ( G , X ) , where G is a locally compact group and X is any subset. When G is a connected Lie group or a… Expand

On the isolated points in the space of groups

- Yves Cornulier, L. Guyot, W. Pitsch
- Mathematics
- 29 November 2005

We investigate the isolated points in the space of finitely generated groups. We give a workable characterization of isolated groups and study their hereditary properties. Various examples of groups… Expand

The Howe-Moore property for real and p-adic groups

- R. Cluckers, Yves Cornulier, N. Louvet, R. Tessera, A. Valette
- Mathematics
- 7 March 2010

We consider in this paper a relative version of the Howe-Moore Property, about vanishing at infinity of coefficients of unitary representations. We characterize this property in terms of ergodic… Expand

Commensurating actions for groups of piecewise continuous transformations

- Yves Cornulier
- Mathematics
- 22 March 2018

We use partial actions, as formalized by Exel, to construct various commensurating actions. We use this in the context of groups piecewise preserving a geometric structure, and we interpret the… Expand

Irreducible lattices, invariant means, and commensurating actions

- Yves Cornulier
- Mathematics
- 6 August 2013

We study rigidity properties of lattices in terms of invariant means and commensurating actions (or actions on CAT(0) cube complexes). We notably study Property FM for groups, namely that any action… Expand

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