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Automorphisms of the type II1 Arveson system of Warren's noise

Boris Tsirelson

math.OAarXiv:math/0612303

Abstract

Motions of the plane (shifts and rotations) correspond to automorphisms of the type I Arveson system of white noise. I prove that automorphisms corresponding to rotations cannot be extended to the type II Arveson system of Warren's noise.

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