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math.OA2012★ 60 cited
Symmetries of Lévy processes on compact quantum groups, their Markov semigroups and potential theory
Fabio Cipriani, Uwe Franz, Anna Kula
Strongly continuous semigroups of unital completely positive maps (i.e. quantum Markov semigroups or quantum dynamical semigroups) on compact quantum groups are studied. We show th…
math.OA2012
Variations in noncommutative potential theory: finite energy states, potentials and multipliers
Fabio Cipriani, Jean-Luc Sauvageot
In this work we undertake an extension of various aspects of the potential theory of Dirichlet forms from locally compact spaces to noncommutative C*-algebras with trace. In partic…