
Notions of topological free entropy and of free capacity are introduced in the $C^*$-algebra context. Basic properties, basic problems and connections to potential theory and random matrix theory are discussed.
14 pages
Measures of information, entropy, Primary: 46L54; Secondary: 15A52, 31A15, 46L05, 94A17, Mathematics - Operator Algebras, Primary: 46L54, Secondary: 15A52, 31A15, 46L05, 94A17, General theory of \(C^*\)-algebras, Free probability and free operator algebras, free entropy, FOS: Mathematics, trace states, Quantum equilibrium statistical mechanics (general), Operator Algebras (math.OA), logarithmic capacity
Measures of information, entropy, Primary: 46L54; Secondary: 15A52, 31A15, 46L05, 94A17, Mathematics - Operator Algebras, Primary: 46L54, Secondary: 15A52, 31A15, 46L05, 94A17, General theory of \(C^*\)-algebras, Free probability and free operator algebras, free entropy, FOS: Mathematics, trace states, Quantum equilibrium statistical mechanics (general), Operator Algebras (math.OA), logarithmic capacity
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