The study of operator algebras, which grew out of von Neumann's work in the 1920s and 30s on modelling quantum mechanics, has in recent years experienced tremendous growth and vitality, with significant applications in other areas both within mathematics and in other fields. For this reason, and because of the existence of a strong Canadian school in the subject, the topic was a natural candidate for an emphasis year at The Fields Institute. This volume is the second selection of papers that arose from the seminars and workshops of a year-long program, Operator Algebras and Applications, that took place at The Fields Institute. Topics covered include the classification of amenable C*-algebras, lifting theorems for completely positive maps, and automorphisms of von Neumann algebras of type III.
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Für höhere Schule und Studium
Für Beruf und Forschung
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ISBN-13
978-0-8218-0908-2 (9780821809082)
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Schweitzer Klassifikation
A generalized intertwining lifting theorem by B. V. Rajarama Bhat On the classification of C*-algebras of real rank zero, III: The infinite case by O. Bratteli, G. A. Elliott, D. E. Evans, and A. Kishimoto On the classification of C*-algebras of real rank zero, IV: Reduction to local spectrum of dimension two by G. A. Elliott, G. Gong, and H. Su Simple approximate circle algebras by I. Stevens The classification of certain non-simple approximate interval algebras by K. H. Stevens Right inverse of the module of approximately finite dimensional factors of type III and approximately finite ergodic principal measured groupoids by C. E. Sutherland and M. Takesaki.