CONTENTS
1 Introduction 1
2 Preliminaries 3
3 Unitary realization of ot(y,x) 5
4 Construction of M v 6
5 Coordinate representation of elements of M 7
6 The expectation E 10
7 Coordinates in M
v
11
8 The expectation E' 14
9 Tomita-Takesaki theory for M and M v 15
10 /(M)-automorphisms of M 22
11 Flows of automorphisms 26
12 The Feldman-Moore-type structure
theorem 32
12.1 Structure of operators in N 41
12.2 The maps ax{y^z) and ^
z )
41
12.3 Coordinate representation of elements of MQ 45
13 Isomorphisms of crossed products 52
13.1 /(M)-isomorphisms of crossed products 52
13.2 /-isomorphisms of crossed products 56
14 Bimodules and subalgebras of M 62
15 Spectral theorem for bimodules 70
16 Analytic algebra of a flow of automorphisms 81
17 Properties of M 83
18 Hyperfiniteness and dilations 85
19 The construction of Yamanouchi 93
vn
Previous Page Next Page