Cocycle conjugacy classes of binary shifts
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- by Geoffrey L. Price PDF
- Proc. Amer. Math. Soc. 145 (2017), 2075-2079 Request permission
Abstract:
We show that every binary shift on the hyperfinite $II_1$ factor $R$ is cocycle conjugate to at least countably many non-conjugate binary shifts. This holds in particular for binary shifts of infinite commutant index.References
- William Arveson and Geoffrey Price, The structure of spin systems, Internat. J. Math. 14 (2003), no.Β 2, 119β137. MR 1966768, DOI 10.1142/S0129167X03001673
- Donald Bures and Hong Sheng Yin, Outer conjugacy of shifts on the hyperfinite $\textrm {II}_1$-factor, Pacific J. Math. 142 (1990), no.Β 2, 245β257. MR 1042044
- Kristen W. Culler and Geoffrey L. Price, On the ranks of skew-centrosymmetric matrices over finite fields, Linear Algebra Appl. 248 (1996), 317β325. MR 1416463, DOI 10.1016/0024-3795(95)00249-9
- V. F. R. Jones, Index for subfactors, Invent. Math. 72 (1983), no.Β 1, 1β25. MR 696688, DOI 10.1007/BF01389127
- Richard V. Kadison and John R. Ringrose, Fundamentals of the theory of operator algebras. Vol. II, Pure and Applied Mathematics, vol. 100, Academic Press, Inc., Orlando, FL, 1986. Advanced theory. MR 859186, DOI 10.1016/S0079-8169(08)60611-X
- Robert T. Powers, An index theory for semigroups of $^*$-endomorphisms of ${\scr B}({\scr H})$ and type $\textrm {II}_1$ factors, Canad. J. Math. 40 (1988), no.Β 1, 86β114. MR 928215, DOI 10.4153/CJM-1988-004-3
- Robert T. Powers and Geoffrey L. Price, Cocycle conjugacy classes of shifts on the hyperfinite $\textrm {II}_1$ factor, J. Funct. Anal. 121 (1994), no.Β 2, 275β295. MR 1272129, DOI 10.1006/jfan.1994.1050
- Geoffrey L. Price, Shifts on type $\textrm {II}_1$ factors, Canad. J. Math. 39 (1987), no.Β 2, 492β511. MR 899846, DOI 10.4153/CJM-1987-021-2
- Geoffrey L. Price, Cocycle conjugacy classes of shifts on the hyperfinite $\textrm {II}_1$ factor. II, J. Operator Theory 39 (1998), no.Β 1, 177β195. MR 1610322
- Geoffrey L. Price, Shifts on the hyperfinite $\rm II_1$ factor, J. Funct. Anal. 156 (1998), no.Β 1, 121β169. MR 1632956, DOI 10.1006/jfan.1997.3225
Additional Information
- Geoffrey L. Price
- Affiliation: Department of Mathematics, United States Naval Academy, Annapolis, Maryland 21402
- MR Author ID: 142055
- Email: glp@usna.edu
- Received by editor(s): April 4, 2016
- Received by editor(s) in revised form: June 28, 2016
- Published electronically: November 3, 2016
- Communicated by: Adrian Ioana
- © Copyright 2016 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 145 (2017), 2075-2079
- MSC (2010): Primary 46L55, 46L10
- DOI: https://doi.org/10.1090/proc/13353
- MathSciNet review: 3611321
Dedicated: In memory of William B. Arveson