On the Classification of Binary Shifts of Finite Commutant Index

We provide a complete classification up to conjugacy of the binary shifts of finite commutant index on the hyperfinite II1factor. There is a natural correspondence between the conjugacy classes of these shifts and polynomials over GF(2) satisfying a certain duality condition.

Saved in:
Bibliographic Details
Published in:Proceedings of the National Academy of Sciences - PNAS 1999-12, Vol.96 (26), p.14700-14705
Main Author: Price, Geoffrey L.
Format: Article
Language:English
Subjects:
Algebra
Binary system
Classification
Coefficients
Constant coefficients
Degrees of polynomials
Indices of summation
Integers
Mathematical theorems
Mathematics
Physical Sciences
Polynomials
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We provide a complete classification up to conjugacy of the binary shifts of finite commutant index on the hyperfinite II1factor. There is a natural correspondence between the conjugacy classes of these shifts and polynomials over GF(2) satisfying a certain duality condition.
ISSN:0027-8424
1091-6490
DOI:10.1073/pnas.96.26.14700