The emergence of Noncommutative Potential Theory

Abstract

We review origins and developments of Noncommutative Potential theory as underpinned by the notion of energy form. Recent and new applications are shown to approximation properties of von Neumann algebras.

References in corpus (5)

• The Haagerup property for locally compact quantum groups
• The Haagerup approximation property for von Neumann algebras via quantum Markov semigroups and Dirichlet forms
• Non Symmetric Dirichlet Forms on Semifinite von Neumann Algebras
• Integrals and Potentials of Differential 1-forms on the Sierpinski Gasket
• Ergodic property of Markovian semigroups on standard forms of von Neumann algebras