COCYCLE CONJUGACY CLASSES OF SHIFTS ON THE HYPERFINITE-II(1) FACTOR

Citation
Rt. Powers et Gl. Price, COCYCLE CONJUGACY CLASSES OF SHIFTS ON THE HYPERFINITE-II(1) FACTOR, Journal of functional analysis, 121(2), 1994, pp. 275-295
Citations number
12
Categorie Soggetti
Mathematics, Pure",Mathematics
ISSN journal
00221236
Volume
121
Issue
2
Year of publication
1994
Pages
275 - 295
Database
ISI
SICI code
0022-1236(1994)121:2<275:CCCOSO>2.0.ZU;2-E
Abstract
We study a class of endomorphisms of subfactor index 2, called binary shifts, on the hyperfinite II1 factor. Invariants are identified for c ocycle conjugacy and strong cocycle conjugacy classes. In particular, there is a connection between the Bratteli diagram associated with a b inary shift and strong cocycle conjugacy. (C) 1994 Academic Press, Inc .