Cocycle conjugacy classes of binary shifts
Author:
Geoffrey L. Price
Journal:
Proc. Amer. Math. Soc. 145 (2017), 2075-2079
MSC (2010):
Primary 46L55, 46L10
DOI:
https://doi.org/10.1090/proc/13353
Published electronically:
November 3, 2016
MathSciNet review:
3611321
Full-text PDF
Abstract | References | Similar Articles | Additional Information
Abstract: We show that every binary shift on the hyperfinite 
factor 
is cocycle conjugate to at least countably many non-conjugate binary shifts. This holds in particular for binary shifts of infinite commutant index.
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-factor, Pacific J. Math. 142 (1990), no. 2, 245-257. 
-endomorphisms of 
and type 
factors, Canad. J. Math. 40 (1988), no. 1, 86-114. 
factor, J. Funct. Anal. 121 (1994), no. 2, 275-295. 
factors, Canad. J. Math. 39 (1987), no. 2, 492-511. 
factor. II, J. Operator Theory 39 (1998), no. 1, 177-195. 
factor, J. Funct. Anal. 156 (1998), no. 1, 121-169. Retrieve articles in Proceedings of the American Mathematical Society with MSC (2010): 46L55, 46L10
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Additional Information
Geoffrey L. Price
Affiliation:
Department of Mathematics, United States Naval Academy, Annapolis, Maryland 21402
Email:
glp@usna.edu
DOI:
https://doi.org/10.1090/proc/13353
Keywords:
Binary shift,
cocycle conjugate,
commutant index,
CAR algebra
Received by editor(s):
April 4, 2016
Received by editor(s) in revised form:
June 28, 2016
Published electronically:
November 3, 2016
Dedicated:
In memory of William B. Arveson
Communicated by:
Adrian Ioana
Article copyright:
© Copyright 2016
American Mathematical Society
