Integral representation of states on a C*-algebras

https://repo-archives.ihes.fr/FONDS_IHES/I_Prepublications/RUELLE/1965-1976/P_70_X029/P_70_X029.pdf

Auteur(e.s) : RUELLE

Date : 1970

Description : Abstract : Let E be the compact set of states on a C?-algebra U with identity. We discuss the representations of a state ? as barycenter of a probability measure ? on E. Examples of such representations are the central decomposition and the ergodic decomposition. They are associated with an Abelian von Neumann algebra B in the commutant ?(U)? of the image of U in the representation canonically associated with ?. This situation is studied in general and a number of applications are discussed.

Sujet(s) : RESEAUX

Source : P/70/X029

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1970, ABEL, ARAKI, ARNOLD, AVEZ, BAIRE, BISHOP, BOREL, BOURBAKI, CHOQUET, DE LEEUW, DIXMIER, DOPLICHER, EFFROS, EN, EUCLIDE, GEL'FAND, GUICHARDET, HAAG, HAAR, HILBERT, KAPLANSKY, KASTLER, KOTHE, LANFORD, MEYER, MICHEL, MILMAN, MINKOWSKI, MIYATA, NEUMANN, PHYSIQUE STATISTIQUE, POWERS, PREPUBLICATION, RADON, RESEAUX, ROBINSON, RUELLE, SAKAI, SINAI, SYSTEMES COMPLEXES, SYSTEMES DYNAMIQUES

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RUELLE, “Integral representation of states on a C*-algebras,” Archives de l'IHES, consulté le 8 septembre 2024, https://omeka.ihes.fr/document/P_70_X029.pdf.

Integral representation of states on a C*-algebras

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