Integral representation of states on a C*-algebras
RESEAUX
PHYSIQUE STATISTIQUE
SYSTEMES COMPLEXES
SYSTEMES DYNAMIQUES
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.
RUELLE
P/70/X029
IHES
1970
A4
30 f.
EN
TEXTE
PREPUBLICATION
P_70_X029.pdf
1970