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Operator Algebras and Their Applications II
Edited by: Peter A. Fillmore, Dalhousie University, Halifax, NS, Canada, and James A. Mingo, Queens University, Kingston, ON, Canada
A co-publication of the AMS and Fields Institute.

Fields Institute Communications
1998; 170 pp; hardcover
Volume: 20
ISBN-10: 0-8218-0908-3
ISBN-13: 978-0-8218-0908-2
List Price: US$56
Member Price: US$44.80
Order Code: FIC/20
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Operator Algebras and Their Applications - Peter A Fillmore and James A Mingo

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.

Table of Contents

  • B. V. Rajarama Bhat -- A generalized intertwining lifting theorem
  • O. Bratteli, G. A. Elliott, D. E. Evans, and A. Kishimoto -- On the classification of C*-algebras of real rank zero, III: The infinite case
  • G. A. Elliott, G. Gong, and H. Su -- On the classification of C*-algebras of real rank zero, IV: Reduction to local spectrum of dimension two
  • I. Stevens -- Simple approximate circle algebras
  • K. H. Stevens -- The classification of certain non-simple approximate interval algebras
  • C. E. Sutherland and M. 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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