Non-commutative functions and the non-commutative free Lévy-Hinčin formula Academic Article uri icon

abstract

  • The paper is discussing infinite divisibility in the setting of operator-valued boolean, free and, more general, c-free independences. Particularly, using Hilbert bimodule and non-commutative function techniques, we obtain analogues of the Lévy–Hinčin integral representation for infinitely divisible real measures.

publication date

  • March 20, 2013