Journal article
ON THE STRUCTURAL THEORY OF II1 FACTORS OF NEGATIVELY CURVED GROUPS
Annales scientifiques de l'École normale supérieure, Vol.46(1), pp.1-33
01/01/2013
DOI: 10.24033/asens.2183
Abstract
Ozawa showed in [21] that for any i.c.c, hyperbolic group, the associated group factor L Gamma is solid. Developing a new approach that combines some methods of Peterson [29], Ozawa and Popa [27, 28], and Ozawa [25], we strengthen this result by showing that LP is strongly solid. Using our methods in cooperation with a cocycle superrigidity result of Ioana [12], we show that profinite actions of lattices in Sp (n, 1), n >= 2, are virtually W*-superrigid.
Details
- Title: Subtitle
- ON THE STRUCTURAL THEORY OF II1 FACTORS OF NEGATIVELY CURVED GROUPS
- Creators
- Ionut Chifan - Vanderbilt UniversityThomas Sinclair - Vanderbilt University
- Resource Type
- Journal article
- Publication Details
- Annales scientifiques de l'École normale supérieure, Vol.46(1), pp.1-33
- DOI
- 10.24033/asens.2183
- ISSN
- 0012-9593
- eISSN
- 1873-2151
- Publisher
- SOC MATHEMATIQUE FRANCE
- Number of pages
- 33
- Grant note
- 101286 / NSF
- Language
- English
- Date published
- 01/01/2013
- Academic Unit
- Mathematics
- Record Identifier
- 9984242445902771
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