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On the classification of binary shifts of minimal commutant index
1Department of Mathematics 9E, United States Naval Academy, Annapolis, MD 21402-5000, USA.
Abstract:
We provide a complete classification up to conjugacy of the binary shifts of commutant index 2 on the hyperfinite II(1) factor. There is a natural correspondence between the conjugacy classes of these shifts and polynomials over GF(2) satisfying a certain duality condition.