Abstract
As in the classical case of Lévy processes on a group, Lévy processes on a Voiculescu dual group are constructed from conditionally positive functionals. It is essential for this construction that Schoenberg correspondence holds for dual groups: The exponential of a conditionally positive functional is a convolution semigroup of states.
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Communicated by Y. Kawahigashi
Dedicated to Wilhelm von Waldenfels
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Schürmann, M., Voß, S. Schoenberg Correspondence on Dual Groups. Commun. Math. Phys. 328, 849–865 (2014). https://doi.org/10.1007/s00220-013-1872-1
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DOI: https://doi.org/10.1007/s00220-013-1872-1