Journal article
Central sequence subfactors and double commutant properties
International journal of mathematics, Vol.10(1), pp.53-77
1999
DOI: 10.1142/S0129167X99000033
Abstract
First, we construct the Jones tower and tunnel of the central sequence subfactor arising from a hyperfinite type II 1 subfactor with finite index and finite depth, and prove each algebra has the double commutant property in the ultraproduct of the enveloping II 1 factor. Next, we show the equivalence between Popa's strong amenability and the double commutant property of the central sequence factor for subfactors as above without assuming the finite depth condition.
Details
- Title: Subtitle
- Central sequence subfactors and double commutant properties
- Creators
- Keiko Kawamuro
- Resource Type
- Journal article
- Publication Details
- International journal of mathematics, Vol.10(1), pp.53-77
- DOI
- 10.1142/S0129167X99000033
- ISSN
- 0129-167X
- eISSN
- 1793-6519
- Language
- English
- Date published
- 1999
- Academic Unit
- Mathematics
- Record Identifier
- 9983985836002771
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