English

Automorphisms of the type II_1 Arveson system of Warren's noise

Operator Algebras 2007-05-23 v1 Probability

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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Cite

@article{arxiv.math/0612303,
  title  = {Automorphisms of the type II_1 Arveson system of Warren's noise},
  author = {Boris Tsirelson},
  journal= {arXiv preprint arXiv:math/0612303},
  year   = {2007}
}

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11 pages