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Schoenberg Correspondence on Dual Groups

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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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Authors and Affiliations

  1. Department of Mathematics and Computer Science, University of Greifswald, Walther-Rathenau-Straße 47, 17487, Greifswald, Germany

    Michael Schürmann & Stefan Voß

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  1. Michael Schürmann
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  2. Stefan Voß
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Correspondence to Stefan Voß.

Additional information

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

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