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arXiv · 1302.2832

Unitary cocycles and processes on the full Fock space

Stefan Voß
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Abstract

We consider a unitary cocycle or Schürmann triple on the non-commutative unitary group fixed by a complex matrix which induces an additive free white noise or an additive free Lévy process on the tensor algebra over the full Fock space. A Lévy process on a Voiculescu dual semi-group is given by a generator or Schürmann triple. We will show how a free Lévy process on the non-commutative unitary group fixed by a complex matrix can be obtained by infinitesimally convolving the additive free white noise.

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Stefan Voß. 2013-02-12. Unitary cocycles and processes on the full Fock space. https://arxiv.org/abs/1302.2832

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