Open AccessOn the classification of binary shifts of minimal commutant index
Author(s) -
Geoffrey L. Price
Publication year - 1999
Publication title -
proceedings of the national academy of sciences of the united states of america
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 5.011
H-Index - 771
eISSN - 1091-6490
pISSN - 0027-8424
DOI - 10.1073/pnas.96.16.8839
Subject(s) - conjugacy class , centralizer and normalizer , duality (order theory) , mathematics , index (typography) , binary number , combinatorics , pure mathematics , computer science , arithmetic , world wide web
We provide a complete classification up to conjugacy of the binary shifts of commutant index 2 on the hyperfiniteII 1 factor. There is a natural correspondence between the conjugacy classes of these shifts and polynomials overGF (2) satisfying a certain duality condition.