Codice  QDD 129 
Titolo  Variations in Noncommutative Potential Theory: finiteenergy states, potentials and multipliers 
Data  20120723 
Autore/i  Cipriani F.; Sauvageot J.L. 
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Abstract  In this work we undertake an extension of various aspects of the potential theory of Dirichlet forms from locally compact spaces to noncommutative Cstaralgebras with trace. In particular we introduce finiteenergy states, potentials and multipliers of Dirichlet spaces. We prove several results among which the celebrated Deny s embedding theorem and the Deny s inequality, the fact that the carre du champ of bounded potentials are finiteenergy functionals and the relative supply of multipliers. 
