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Book DetailsFields Institute CommunicationsVolume: 20; 1998; 170 ppMSC: Primary 46
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.
Titles in this series are co-published with the Fields Institute for Research in Mathematical Sciences (Toronto, Ontario, Canada).
ReadershipResearch mathematicians and graduate students; engineers.
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Table of Contents
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Chapters
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B. Rajarama Bhat — A generalized intertwining lifting theorem
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Ola Bratteli, George Elliott, David Evans and Akitaka Kishimoto — On the classification of C*-algebras of real rank zero, III: The infinite case
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George Elliott, Guihua Gong and Hongbing Su — On the classification of C*-algebras of real rank zero, IV: Reduction to local spectrum of dimension two
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Irina Stevens — Simple approximate circle algebras
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Ken Stevens — The classification of certain non-simple approximate interval algebras
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C Sutherland and Masamichi Takesaki — Right inverse of the module of approximately finite dimensional factors of type III and approximately finite ergodic principal measured groupoids
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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.
Titles in this series are co-published with the Fields Institute for Research in Mathematical Sciences (Toronto, Ontario, Canada).
Research mathematicians and graduate students; engineers.
-
Chapters
-
B. Rajarama Bhat — A generalized intertwining lifting theorem
-
Ola Bratteli, George Elliott, David Evans and Akitaka Kishimoto — On the classification of C*-algebras of real rank zero, III: The infinite case
-
George Elliott, Guihua Gong and Hongbing Su — On the classification of C*-algebras of real rank zero, IV: Reduction to local spectrum of dimension two
-
Irina Stevens — Simple approximate circle algebras
-
Ken Stevens — The classification of certain non-simple approximate interval algebras
-
C Sutherland and Masamichi Takesaki — Right inverse of the module of approximately finite dimensional factors of type III and approximately finite ergodic principal measured groupoids
