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Operator Algebras and Their Applications II
 
Edited by: Peter A. Fillmore Dalhousie University, Halifax, NS, Canada
James A. Mingo Queens University, Kingston, ON, Canada
A co-publication of the AMS and Fields Institute
Front Cover for Operator Algebras and Their Applications II
Available Formats:
Hardcover ISBN: 978-0-8218-0908-2
Product Code: FIC/20
List Price: $63.00
MAA Member Price: $56.70
AMS Member Price: $50.40
Electronic ISBN: 978-1-4704-2988-1
Product Code: FIC/20.E
List Price: $59.00
MAA Member Price: $53.10
AMS Member Price: $47.20
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $94.50
MAA Member Price: $85.05
AMS Member Price: $75.60
Front Cover for Operator Algebras and Their Applications II
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  • Front Cover for Operator Algebras and Their Applications II
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Operator Algebras and Their Applications II
Edited by: Peter A. Fillmore Dalhousie University, Halifax, NS, Canada
James A. Mingo Queens University, Kingston, ON, Canada
A co-publication of the AMS and Fields Institute
Available Formats:
Hardcover ISBN:  978-0-8218-0908-2
Product Code:  FIC/20
List Price: $63.00
MAA Member Price: $56.70
AMS Member Price: $50.40
Electronic ISBN:  978-1-4704-2988-1
Product Code:  FIC/20.E
List Price: $59.00
MAA Member Price: $53.10
AMS Member Price: $47.20
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $94.50
MAA Member Price: $85.05
AMS Member Price: $75.60
  • Book Details
     
     
    Fields Institute Communications
    Volume: 201998; 170 pp
    MSC: 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.

    Readership

    Research mathematicians and graduate students; engineers.

  • Table of Contents
     
     
    • 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
  • Request Review Copy
Volume: 201998; 170 pp
MSC: 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.

Readership

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
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