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

Ruelle, David

RUELLE

1970

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.

RESEAUX

P/70/X029

©IHES

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RUELLE, “Integral representation of states on a C*-algebras,” Archives de l'IHES, consulté le 30 mai 2024, https://omeka.ihes.fr/document/P_70_X029.pdf.