Proper actions of wreath products and generalizations
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- by Yves Cornulier, Yves Stalder and Alain Valette PDF
- Trans. Amer. Math. Soc. 364 (2012), 3159-3184 Request permission
Abstract:
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 standard wreath products. Our construction also provides a characterization of subsets with relative Property T in a standard wreath product.References
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Additional Information
- Yves Cornulier
- Affiliation: Laboratoire de Mathématiques, Bâtiment 425, Université Paris-Sud, 91405 Orsay, France
- MR Author ID: 766953
- Email: yves.cornulier@math.u-psud.fr
- Yves Stalder
- Affiliation: Laboratoire de Mathématiques, UMR 6620-CNRS, Université Blaise Pascal, Campus des Cézeaux, BP 80026, 63171 Aubière Cedex France
- Email: yves.stalder@math.univ-bpclermont.fr
- Alain Valette
- Affiliation: Institut de Mathématiques, Université de Neuchâtel, Rue Émile Argand 11, CP 158, 2009 Neuchâtel, Switzerland
- Email: Alain.Valette@unine.ch
- Received by editor(s): December 8, 2009
- Received by editor(s) in revised form: September 14, 2010
- Published electronically: February 9, 2012
- Additional Notes: The first and second authors were supported by ANR project “QuantiT” (Nr JC08_318197).
- © Copyright 2012
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Trans. Amer. Math. Soc. 364 (2012), 3159-3184
- MSC (2010): Primary 20F69; Secondary 20E22, 43A05, 43A65
- DOI: https://doi.org/10.1090/S0002-9947-2012-05475-4
- MathSciNet review: 2888241