Concrete classification and centralizers of certain $\mbi{Z}^{2} \rtimes \mathit{SL}(2,\mbi{Z})$ -actions
SAKO, Hiroki
J. Math. Soc. Japan, Tome 62 (2010) no. 1, p. 135-166 / Harvested from Project Euclid
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We introduce a new class of actions of the group $\mbi{Z}^{2} \rtimes \mathit{SL}(2,\mbi{Z})$ on finite von Neumann algebras and call them twisted Bernoulli shift actions. We classify these actions up to conjugacy and give an explicit description of their centralizers. We also distinguish many of those actions on the AFD $\mathrm{II}_{1}$ factor in view of outer conjugacy.
Publié le : 2010-01-15
Classification:  von Neumann algebras,  automorphisms,  46L40,  46L10 
@article{1265380427,
     author = {SAKO, Hiroki},
     title = {Concrete classification and centralizers of certain $\mbi{Z}^{2} \rtimes \mathit{SL}(2,\mbi{Z})$ -actions},
     journal = {J. Math. Soc. Japan},
     volume = {62},
     number = {1},
     year = {2010},
     pages = { 135-166},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1265380427}
}

SAKO, Hiroki. Concrete classification and centralizers of certain $\mbi{Z}^{2} \rtimes \mathit{SL}(2,\mbi{Z})$ -actions. J. Math. Soc. Japan, Tome 62 (2010) no. 1, pp.  135-166. http://gdmltest.u-ga.fr/item/1265380427/