Cocycle Conjugacy Classes of Shifts on the Hyperfinite II1 Factor

Cocycle Conjugacy Classes of Shifts on the Hyperfinite II1 Factor

We study a class of endomorphisms of subfactor index 2, called binary shifts, on the hyperfinite II1 factor. Invariants are identified for cocycle conjugacy and strong cocycle conjugacy classes. In particular, there is a connection between the Bratteli diagram associated with a binary shift and stro...

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Veröffentlicht in:Journal of functional analysis 1994-05, Vol.121 (2), p.275-295
Hauptverfasser: Powers, R.T., Price, G.L.
Format: Artikel
Sprache:eng
Schlagworte:
Exact sciences and technology
Functional analysis
Mathematical analysis
Mathematics
Sciences and techniques of general use
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Zusammenfassung:We study a class of endomorphisms of subfactor index 2, called binary shifts, on the hyperfinite II1 factor. Invariants are identified for cocycle conjugacy and strong cocycle conjugacy classes. In particular, there is a connection between the Bratteli diagram associated with a binary shift and strong cocycle conjugacy.
ISSN:0022-1236
1096-0783
DOI:10.1006/jfan.1994.1050