Journal article
On relative property (T) and Haagerup's property
Transactions of the American Mathematical Society, Vol.363(12), pp.6407-6420
2011
DOI: 10.1090/S0002-9947-2011-05259-1
Abstract
We consider the following three properties for countable discrete groups Γ: (1) Γ has an infinite subgroup with relative property (T), (2) the group von Neumann algebra LΓ has a diffuse von Neumann subalgebra with relative property (T) and (3) Γ does not have Haagerup's property. It is clear that (1) ⇒ (2) ⇒ (3). We prove that both of the converses are false. © 2011 American Mathematical Society.
Details
- Title: Subtitle
- On relative property (T) and Haagerup's property
- Creators
- Ionut Chifan - Vanderbilt UniversityAdrian Ioana - University of California, Los Angeles
- Resource Type
- Journal article
- Publication Details
- Transactions of the American Mathematical Society, Vol.363(12), pp.6407-6420
- Publisher
- American Mathematical Society
- DOI
- 10.1090/S0002-9947-2011-05259-1
- ISSN
- 0002-9947
- Language
- English
- Date published
- 2011
- Academic Unit
- Mathematics
- Record Identifier
- 9984230407602771
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