Toeplitz CAR flows and type I factorizations
Izumi, Masaki ; Srinivasan, R.
Kyoto J. Math., Tome 50 (2010) no. 2, p. 1-32 / Harvested from Project Euclid
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Toeplitz CAR flows are a class of $E_{0}$ -semigroups including the first type III example constructed by R. T. Powers. We show that the Toeplitz CAR flows contain uncountably many mutually non-cocycle-conjugate $E_{0}$ -semigroups of type III. We also generalize the type III criterion for Toeplitz canonical anticommutation relation (CAR) flows employed by Powers (and later refined by W. Arveson), and show that Toeplitz CAR flows are always either of type I or type III.
Publié le : 2010-05-15
Classification:  46L55,  30D50,  32A10,  81S05 
@article{1271187735,
     author = {Izumi, Masaki and Srinivasan, R.},
     title = {Toeplitz CAR flows and type I factorizations},
     journal = {Kyoto J. Math.},
     volume = {50},
     number = {2},
     year = {2010},
     pages = { 1-32},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1271187735}
}

Izumi, Masaki; Srinivasan, R. Toeplitz CAR flows and type I factorizations. Kyoto J. Math., Tome 50 (2010) no. 2, pp.  1-32. http://gdmltest.u-ga.fr/item/1271187735/