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Pedersen G.K. — C*-algebras and their automorphism groups
Pedersen G.K. — C*-algebras and their automorphism groups

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Название: C*-algebras and their automorphism groups

Автор: Pedersen G.K.

Язык: en

Рубрика: Математика/Анализ/Функциональный анализ/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1979

Количество страниц: 416

Добавлена в каталог: 05.03.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
$\sigma$-finite von Neumann algebra      62
$\sigma$-finite weight      152
$\sigma$-normal weight      152
$\sigma$-trace      152
$\sigma$-weak topology      53
$\sigma$-weight      152
A-system      267
Abelian element      171
Absolute value      3
Admissible cone      315
AF-algebra      208
Affiliated operator      164
Affine function      70
Amenable group      240
Amplification      20
Antiliminary C*-algebra      191
Approximate unit      11
Approximately finite-dimensional algebra      367
Approximately inner automorphism      366
Arveson Spectrum      303
Associated representation      47
Asymptotically abelian system      294
Asymptotically multiplicative state      294
Atomic representation      103
AW*-algebra abstract      66
AW*-algebra concrete      36
B*-dynamical system      245
Barycentre of measure      130
Borchers spectrum      341
Borel *-algebra      112
Borel field of Hilbert spaces      140
Borel field of representations      146
Borel field of von Neumann algebras      141
Borel isomorphic C*-algebras      120
C*-dynamical system      244
Calkin algebra      192
Cauchy — Schwarz inequality      42
CCR algebra      197
Central cover of element      30
Central cover of representation      61
Central measure      124
centralizer      79
Centre of von Neumann algebra      29
Chaotic state      363
Closed projection      78
Commutant      21
Commutative C*-algebra      3
Commutative von Neumann algebra      49
Compact operators      6
Comparison theorem      168
Completely additive functional      66
Composition series      198
Connes spectrum      340
Continuous trace      193
Countably generated Borel *-algebra      112
Countably generated von Neumann algebra      62
Covariance algebra      257
Covariant representation      246
Crossed product      257
Cyclic projection      35
Cyclic representation      46
Cyclic vector      55
Dauns — Hofmann theorem      108
Davies — Borel structure on $\hat{A}$      127
Davies — Borel structure on A      123
Decomposable operators      143
Degenerate representation      46
Densely defined weight      152
Derivable automorphism      336
Derivation      327
Diagonalizable operators      143
Direct integral of Hilbert spaces      141
Direct integral of representations      146
Direct integral of von Neumann algebras      142
Direct product of C*-algebras      6
Direct sum of C*-algebras      6
Direct sum of representations      46
Disjoint representations      65
Dual C*-dynamical system      268
Dual W*-dynamical system      278
Enveloping Borel *-algebra      112
Enveloping von Neumann algebra      60
Equivalent projections      167
Equivalent representations      48
Essential ideal      80
Exterior equivalent C*-systems      357
Exterior equivalent W*-systems      357
Factor      30
Factor representation      65
Factor spectrum      127
Factorial state      127
Factorial weight      186
Faithful functional      59
Fermion algebra      206
Finite projection      108
Finite von Neumann algebra      166
Free action      286
G-continuous functional      248
G-covariant functional      248
G-invariant functional      248
G-invariant representation      247
G-prime algebra      276
G-product (C*-algebras)      267
G-product (von Neumann algebras)      278
G-quasi-invariant functional      248
G-simple algebra      276
Gauge transformation      370
GCR algebra      191
Gelfand — Naimark — Segal construction      47
Glimm algebras      206
Ground state      363
Group C*-algebra      229
Group von Neumann algebra      233
Haar measure      228
Hereditary      14
Hilbert algebra      239
Hilbert-Schmidt operators      51
Homogeneous Borel *-algebra      204
Homogeneous C*-algebra      198
Homogeneous von Neumann algebra      172
Ideal      15
Injective C*-algebra      393
Inner automorphism      328
Inner derivation      328
Integrable representation      300
Invariant mean      240
Irreducible representation      84
Jacobson topology on $\check{A}$      93
Jacobson topology on $\hat{A}$      95
Jordan decomposition      45
Kadison's function representation      70
Kaplansky's density theorem      24
KMS condition      363
Landstad's conditions      268
Large group of automorphisms      291
Left bounded element      234
Left Kernel      47
Liminary C*-algebra      197
Lusin's theorem      31
Mackey — Borel structure on $\hat{A}$      137
Mackey — Borel structure on A      123
Matrix system of rank {m(n)}      215
Maximal commutative algebra      34
Maximal positive cone      318
Minimal dense ideal      175
Minimal period of automorphism      354
Minimal positive representation      315
Modular condition      378
Modular function      228
Modular group      381
Modular operator      377
Monotone complete C*-algebra      66
Monotone sequential closure      110
Morphism      16
Multiplier      78
Normal element      1
Normal functional      53
Normal morphism      28
Nuclear C*-algebra      393
Open projection      78
Operator field      141
Operator monotone function      8
Ordered group      318
Orthogonal functionals      45
Partial isometry      23
Polar decomposition      23
Polish space      96
Positive definite (vector valued) function      258
Positive definite function      230
Positive element      7
Positive functional      42
Positive part      3
Postliminary C*-algebra      191
Pre-dual      55
Prime ideal      88
Primitive algebra      88
Primitive ideal      88
Primitive spectrum      92
Product state      209
Properly infinite von Neumann algebra      166
Pure state      69
Purely infinite von Neumann algebra      166
Quasi-central approximate unit      83
Quasi-equivalence      48
Quasi-matrix system      215
Quasi-spectrum      127
Range projection      23
Reduced crossed product      262
Reduced group C*-algebra      233
Reducing subspace      84
Regular representation (of crossed product)      260
Regular representation (of group)      233
Representation      46
Representing measure      130
Riesz decomposition property      14
Right bounded element      234
Sakai measure      131
Semi-discrete von Neumann algebra      293
Semi-finite von Neumann algebra      166
Semi-finite weight      152
Separable representation      61
Separating set of states      59
Separating vector      35
Simple C*-algebra      6
Smooth C*-algebra      191
Spatial equivalence      48
Spectral measure of representation      124
Spectral subspace      300
Spectral theorem      3
Spectrum      2
Spectrum condition $(G = R^n)$      322
Spectrum condition (G compact)      320
Spectrum of C*-algebra      91
Stably isomorphic C*-algebras      277
Standard algebra      117
Standard measure      137
Standard space      120
Standard subset      135
State      44
Strictly positive element      70
Strong topology      19
Strongly clustering state      294
Strongly continuous function      24
Strongly mixing state      294
Tensor product      5
Topological Borel structure      123
Trace      155
Trace (canonical)      51
Trace class operator      51
Type $III_{\lambda}$ von Neumann algebra      391
Type $I_0$ C*-algebra      191
Type I Borel "-algebra      204
Type I C*-algebra      191
Type I von Neumann algebra      171
Type II and III von Neumann algebras      174
Type of representation      179
UHF algebra      205
Ultra-weak topology      53
Unitary element      1
Unitary equivalence      48
Unitary representation      228
Universal Hilbert space      60
Universal representation      60
Universally measurable operator      104
Universally weakly inner automorphism      336
Up-down theorem      25
Vector field      140
Vector state      47
von Neumann algebra      23
von Neumann's bicommutant theorem      22
W*-crossed product      278
W*-dynamical system      244
Weak topology      19
Weak* Borel structure      183
Weakly inner automorphism      336
Weight      151
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