The emergence of Noncommutative Potential Theory
Fabio E.G. Cipriani
TL;DR
This paper reviews the development of Noncommutative Potential Theory, focusing on energy forms, and explores its recent applications to approximation properties of von Neumann algebras.
Contribution
It provides a comprehensive overview of Noncommutative Potential Theory and introduces new applications related to von Neumann algebra approximation properties.
Findings
Noncommutative Potential Theory is rooted in energy forms.
Recent applications connect the theory to von Neumann algebra approximations.
The paper highlights new developments in the field.
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.
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Taxonomy
TopicsQuantum Mechanics and Applications · Noncommutative and Quantum Gravity Theories