English

Cocycle conjugacy classes of binary shifts

Operator Algebras 2016-02-19 v1

Abstract

We show that every binary shift on the hyperfinite II1II_1 factor RR is cocycle conjugate to at least countably many non-conjugate binary shifts. This holds in particular for binary shifts of infinite commutant index.

Keywords

Cite

@article{arxiv.1602.05647,
  title  = {Cocycle conjugacy classes of binary shifts},
  author = {Geoffrey L. Price},
  journal= {arXiv preprint arXiv:1602.05647},
  year   = {2016}
}

Comments

6 pages

R2 v1 2026-06-22T12:52:41.679Z