Non-commutative entropy computations for continuous fields and cross-products

DOI10.5802/ambp.223zbMath1132.46041OpenAlexW2318153457MaRDI QIDQ2464581

Emmanuel Germain

Publication date: 2 January 2008

Published in: Annales Mathématiques Blaise Pascal (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AMBP_2007__14_1_1_0

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) Noncommutative probability and statistics (46L53)

Cites Work

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• Topological entropy in exact \(C^*\)-algebras
• Crossed products and entropy of automorphisms.
• Exact groups and continuous bundles of \(C^*\)-algebras
• Topological entropy of free product automorphisms
• Dynamical approximation entropies and topological entropy in operator algebras
• Perturbations of the rotation \(C^*\)-algebras and of the Heisenberg commutation relation
• Dual entropy in discrete groups with amenable actions
• Amenability and exactness for dynamical systems and their 𝐶*-algebras
• The completely bounded approximation property for discrete crossed products
• Subtriviality of continuous fields of nuclear C*-algebras.
• Amenable actions and exactness for discrete groups
• Embedding of continuous fields of C* -algebras in the Cuntz algebra 𝒪2
• Déformations de $C\sp*$-algèbres de Hopf

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