Volume: 51; 1983; 107 pp; Softcover
MSC: Primary 46;
Print ISBN: 978-0-8218-0701-9
Product Code: CBMS/51
List Price: $34.00
Individual Price: $27.20
Electronic ISBN: 978-1-4704-2413-8
Product Code: CBMS/51.E
List Price: $32.00
Individual Price: $25.60
Structure of Factors and Automorphism Groups
Share this pageMasamichi Takesaki
A co-publication of the AMS and CBMS
This book describes the recent development in the structure theory of von Neumann algebras and their automorphism groups. It can be viewed as a guided tour to the state of the art.
Readership
Table of Contents
Table of Contents
Structure of Factors and Automorphism Groups
- Cover Cover11 free
- Title i2 free
- Copyright ii3 free
- Contents iii4 free
- Introduction 16 free
- Chapter I. Noncommutative Integration 38 free
- Section 1. Left Hubert algebras 49
- Section 2. Weights and Representations 1217
- Section 3. Left Hubert algebras and weights 1419
- Section 4. Weights and modular automorphism groups 1621
- Section 5. The centralizer of a weight 1924
- Section 6. Connes' theorem of Radon-Nikodym type 2227
- Section 7. Standard form of a von Neumann algebra 2934
- Chapter II. General Theory of Crossed Products and Duality 3338
- Section 1. Crossed products 3439
- Section 2. Duality for crossed products 3742
- Section 3. Arveson-Connes spectral theory 4045
- Section 4. Construction of covariant Systems 4550
- Section 5. Comparison of cocycles 5055
- Section 6. Galois correspondence. Abelian case 5459
- Section 7. Galois correspondence. Noncommutative case 5762
- Chapter III. Structure of Factors of Type III 5964
- Chapter IV. Connes' Theory of Injective Factors and Automorphisms 7782
- Section 1. Centralizing sequences 7782
- Section 2. Noncommutative Følner's condition 8287
- Section 3. Characterizations of approximately finite dimensionai factors 8792
- Section 4. Outer conjugacy of automorphisms of strongly stable factors 9297
- Section 5. Injective factors of type III[sub(λ)], 0 ≤ λ < 1 97102
- References 101106
- Back Cover Back Cover1113