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Bratteli O. — Derivations, Dissipations and Group Actions on C-Algebras
Bratteli O. — Derivations, Dissipations and Group Actions on C-Algebras



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Название: Derivations, Dissipations and Group Actions on C-Algebras

Автор: Bratteli O.

Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1987

Количество страниц: 277

Добавлена в каталог: 08.05.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
$\Gamma$-spectrum      130
A-module      141
Abelian C*-algebra      26 65
Action of group      11
Additive 1-cocycle      152
AF algebra      25
Affiliated      147
Algebra of G-finite elements      46
Analytic element      17
Analytic elements for perturbed groups      126
Antisymmetric bicharacter      188
Approximate identity      103
Approximately finite dimensional      25
Approximately inner derivation      36
Automatic continuity of derivations      48
Automorphism      4
Borchers spectrum      130
Bounded derivation      5
Bounded perturbations      123
CAR algebra      173 234
Central sequence      7
Class of smooth elements      39
Closable operator      9
Closed operator      9
Closed under C*-functional analysis      21
Closure of operator      10
Coboundary      152
Cocycle      123
Cohomology      37
Commuting with group action      113
Complete dissipation      4 241
Completely positive map      245
Condition r      153 198
Connes spectrum      130
Conservative derivation      29 53
Contraction      13
Convolution semigroup of measures      256
Core problem      26
Crossed product      11
Cuntz algebra      237
Derivation      4
Derivation theorem      115
Differentiable element      39
Dimension of locally compact space      26
Direct sum      7
Dispersive operator      54
Dissipation      4 241
Dissipative operator      12
Domain of derivation      4
Dual basis for Lie algebra      193
Eigenunitaries      188
Ergodic action      185 226
Essential hereditary subalgebra      59
Finite range interaction      9
Fixed point algebra      44
Flow      32 66
Formal hamiltonian      8
Fourier transform      41
Frechet topology      49
Free action      79 225
Free flow      9
Frequency of point      81
Functional analysis of domain      21
G-covariant representation      137
G-finite elements for abelian actions      46
G-finite elements for compact actions      47
G-flow      66
G-prime      130
G-simple      130
Generalized Schwarz’s inequality      5
Generator      5 16
Generator of flow      66
Graph      2 0
Group algebra      41
Hereditary subalgebra      59 129
Infinitely differentiable element      39
Infinitesmal generator      5
Inner derivation      5
Interaction      8
Invariant derivation      99 165
Invariant dissipative operator      102
Ising model      8
Lattice      7
Left multiplier      140
Lipschitz continuous      86
Local kernel property      33
Local operator      78
Locality      38
Locally free action      79
Locally free flow      79
Maximal partial isometry      148
Module map      141
Multiplier algebra      5
n times differentiable element      39
n-positive map      245
Negative definite function      256
Noncomir.utative vectorfield      34 184
Noncommutative manifold      35
Norm continuous group      5
One-parameter group      4
Orbit segment      33
Outer derivation      5
Partial cocycle      143
Period of point      81
Polynomially bounded      89
Pre-closed operator      9
Pre-generator      9 16
Quantum spin system      7
Quasi conservative derivation      29
Quasifree action      235
Restricted direct sum      7
Restriction set      32
Schwarz’s inequality      14
Self-determining set      32
Skew symmetric operator      24
Smooth element      39
Smoothness of 1-cocycles      124
Spectral subspaces for abelian actions      42
Spectral subspaces for compact actions      46
Spectral theory for group actions      41
Spectrum of abelian C*-algebra      27 65
Spectrum of group action      42
Stabilizer group      74
State      14
Strong topological transitivity      227
Strongly continuous group      4
Strongly continuous semi-group      5
Strongly n-positive map      245
Summable sequence      7
Tangent functional      12
Topological transitivity      227
Totally disconnected      27
Translationally invariant      9
Trivial central sequence      7
Twisted derivation      116
Twisted negative definite function      251
UHF-algebra      8
Unbounded derivation      7
Uniform radius of analyticity      195
Uniformly hyperfinite algebra      8
Uniformly locally free action      79
Uniformly locally free flow      79
Uniquely ergodic      158
Vector field      34
Velocity of flow      86
Well-behaved element      29
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