Fields Institute Communications 1998; 170 pp; hardcover Volume: 20 ISBN10: 0821809083 ISBN13: 9780821809082 List Price: US$56 Member Price: US$44.80 Order Code: FIC/20
 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 yearlong 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 copublished with the Fields Institute for Research in Mathematical Sciences (Toronto, Ontario, Canada). Readership 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 nonsimple 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
