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| Takesaki M. — Theory of Operator Algebras II |
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| Предметный указатель |
Numerical range 479
One cohomology space 240
One parameter automorphism group 98
One parameter automorphism group, scaling 368
One parameter family of orderings 421
One parameter unitary group 465
Operator algebra, abstract 174
Operator algebra, concrete 174
Operator algebra, t-measurable 174
Operator,  -measurable 173
Operator, grade of an 457
Operator-valued weight 221
Operator-valued weight, faithful 222
Operator-valued weight, normal 222
Operator-valued weight, semi-finite 222
Opposite weight 57
Orderings, one parameter family of 421
Orientation 165
Orthonormal fundamental sequence of fields 31
Period group, modular 369
Period of a weight 383
Periodic semi-finite normal weight 383
Perron — Frobenius eigenvalue 483
Perron — Frobenius eigenvector 483
Perturbation 240
Phase 161
Plancherel formula 74
Plancherel measure 76
Plancherel weight 67
Positive definite function 79
Product, crossed 241
Product, strong 174
Projection, wondering 366
Properly ergodic flow 385
Quadratic form 472
Quadratic form, closable 474
Quadratic form, closed 474
Quantized modulus 449
Quasi equivalence 267
Quasi-invariant 280
Quasi-invariant representation 280
Range, stable 389
Reduced action 332
Reduced C*-crossed product 309
Reduced covariant system 332
Reduced group C*-algebra 78
Regular action 336
Relative tensor product 199 201
Representation of a locally compact group 312
Representation,  -~ 333
Representation, covariant 240 257
Representation, induced 295
Representation, left regular 65
Representation, quasi-invariant 280
Representation, regular 274
Representation, right regular 65
Representation, Schrodinger 274
Representation, semi-cyclic 42 88
Representation, standard see Standard representation
Representation, Weyl 272
Return time 387
Scaling a trace 368
Schrodinger representation 274
Second cohomology group 277
Self-adjoint, essentially 467
Self-dual cone 143
Semi-cyclic representation 42 88
Semi-finite element 216
Semi-finite normal weight, strictly 105
Semi-finite weight 41
Semi-finite weight, strictly 407
Sequence, -nearly everywhere convergent 183
Sequence, exact 277 451 453
Sequence, of fields, orthonormal fundamental 31
Sequence, short exact 376
Set of vector fields, fundamental 28
Set, co-Souslin 484
Set, coanalytic 484
Souslin set 484
Spacial derivative 191
Spectrum 313
Spectrum, -~ 313
Spectrum, Arveson 313
Spectrum, Connes 332
Spectrum, essential 332
Spectrum, joint 157
Spectrum, modular 369
Square integrable 185 266
Square, characteristic see Characteristic square
Stable range 389
Standard bimodule 186
Standard form 240
| Standard form of a von Neumann algebra 151
Standard form, canonical 155
Standard form, “the” 155 209
Standard implementation 153
Standard representation 240
State orbit space 430
State, tracial 430
Strictly semi-finite normal weight 105
Strictly semi-finite weight 407
Strong product 174
Strong resolvent convergence 468
Strong sum 174
Structure operator 68
Subalgebra, definition 42
Subset, hereditary 52
Subspace, r-dense 183
Subweight 415
Sum, strong 174
Support of a weight 57
System, covariant see Covariant system
System, discrete associated 383
System, imprimitivity 296
Tensor product of weights 134
Tensor product, relative 199 201
Time, hitting, n-th 387 395
Time, return 387
Tomita algebra 22 39
Tomita algebra direct integral 33
Topology, measure 167
Topology, uniform 422
Trace scaling 368
Trace, generalized 383
Tracial state 430
Transformation, non singular, of a measure space 389
TREE 484
Tree, body of a 486
Tree, branch of a 487
Tree, finitely terminated 484
Two-point Function 95
Type  factor 363 369 384
Type  factor 363 369
Type  factor 363 368
Type  factor 65 290
Type  factor 364 380 384
Type, exponential 128
Uniform topology 422
Uniqueness of measurable fields 36
Unitary group, extended 449
Unitary group, one parameter 465
Vector, analytic 467
Vector, left bounded 9
Vector, right bounded 5
von Neumann algebra see Neumann algebra
von Neumann algebra, canonical standard form 155
von Neumann algebra, left 3
von Neumann algebra, opposite 186
von Neumann algebra, right 3
von Neumann algebra, standard form 151
von Neumann algebra, the standard form 155 209
von Neumann covariant system 238
Weight 40 88
Weight, balanced 107
Weight, centralizer of a 98 127
Weight, direct integral 135
Weight, dominant 418
Weight, dual 249
Weight, equivalent 403
Weight, faithful 41
Weight, faithful dominant 418
Weight, faithful operator-valued 222
Weight, faithful semi-finite normal 41
Weight, integrable 418
Weight, lacunary 397
Weight, multiplicity of a 398 405
Weight, normal 41 57 105
Weight, normal operator-valued 222
Weight, operator-valued 221
Weight, operator-valued, faithful 222
Weight, operator-valued, normal 222
Weight, operator-valued, semi-finite 222
Weight, opposite 57
Weight, periodic 383
Weight, Plancherel 67
Weight, semi-finite 41 57 105
Weight, semi-finite normal, lacunary 397
Weight, semi-finite normal, periodic 383
Weight, semi-finite operator-valued 222
Weight, strictly semi-finite 407
Weight, strictly semi-finite normal 105
Weyl representation 272
Weyl representation, regular 274
Wondering projection 366
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