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Fell J.M.G. — Induced Representations and Banach *-Algebraic Bundles
Fell J.M.G. — Induced Representations and Banach *-Algebraic Bundles

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Название: Induced Representations and Banach *-Algebraic Bundles

Автор: Fell J.M.G.

Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1977

Количество страниц: 349

Добавлена в каталог: 14.08.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
$C_0(M)$      24
$C_0(M;X)$      23
$L_1$, cross-sectional algebra      134
$L_1$, transformation algebra      136 262
$L_p$ space cross-sectional      108
$p^{th}$ power summable cross-section      108
$\Gamma$-representation      143
$\kappa$      213
$\kappa'_{\alpha}$      210
$\kappa_{\alpha}$      208
$\rho^#$      194
$\sigma$-bounded      108
$\tau_c$      217
$\tilde{O}(X)$      25
*-algebra      24
*-ideal      25
*-representation, abstractly induced      51
*-representation, abstractly induced, compact      85 298
*-representation, abstractly induced, concretely induced      224
*-representation, abstractly induced, conjugate under a group element      301
*-representation, deduced      46
*-representation, deduced, faithful      26
*-representation, deduced, generated by a completely positive linear map      46
*-representation, deduced, generated by a positive linear functional      156 157
*-representation, deduced, inducible      51 81
*-representation, deduced, integrated form of      150
*-representation, deduced, of $C_0(G/H)$, induced      273
*-representation, deduced, of a *-algebra      26
*-representation, deduced, of a Banach *-algebraic bundle      140
*-representation, deduced, of the multiplier bundle      146
*-representation, deduced, positive with respect to Banach *-algebraic bundle      198
*-representation, deduced, rigged space or module      49
*-representation, deduced, space of      26 140
*-representation, deduced, zero      26
*-seminorm      95
Action of a multiplier, left and right      120
Admissible functional      26
Annihilator      122
Approximate unit      116
Associated with a *-representation      189
Banach      100
Banach *-algebra      25
Banach *-algebra, $C^*$-completion of      168
Banach *-algebra, reduced      160
Banach *-algebraic      112
Banach *-algebraic bundle      112
Banach *-algebraic bundle, *-representation of      140
Banach *-algebraic bundle, approximate unit of      116
Banach *-algebraic bundle, homogeneous      123
Banach *-algebraic bundle, isometric isomorphism of      115
Banach *-algebraic bundle, isomorphism of      115
Banach *-algebraic bundle, reduction of      114
Banach *-algebraic bundle, retraction of      114
Banach *-algebraic bundle, saturated      115
Banach *-algebraic bundle, unit element of      116
Banach *-algebraic bundle, unit fiber *-algebra of      115
Banach *-algebraic bundle, with enough unitary multipliers      123
Banach *-algebraic, $C^*$-completion      171
Banach *-algebraic, cross-section of      100
Banach *-algebraic, Hilbert      100
Banach *-algebraic, projection      99
Banach *-algebraic, space      99
Banach *-algebraic, trivial      101
Banach *-algebraic, with enough continuous cross-sections      100
Banach bundle      100
Banach bundle, reduction of      101
Base space      99
Basic conditional expectation      198
Blattner inducing construction      231
Block *-subalgebra      74
Bochner integral      110
Bounded functional      181
Bounded functional, map      119
Bounded functional, module      46
Bundle      99
C(B)      103
C(M)      24
C(M;X)      23
C*-algebraic bundle      124
C*-algebraic bundle, saturated      175
C*-algebraic bundle, structure      173
C*-completion of a Banach *-algebra      168
C*-cross-sectional algebra      173
Canonical imprimitivity bimodule      279
Canonically constructed saturated bundle      321
CAR algebra      177
Circle extension bundle      129
Cocycle representation      144
Commuting algebra      28
Compact *-representation      85 2
Compact operator      25
Compact operator, inner product      42
Compacted cross-sectional algebra      134
Compacted integrated form of a system of imprimitivity      269
Compacted transformation algebra      136 262
Complete positivity      28
Completely positive linear map      46
Complex-conjugate imprimitivity bimodule      73
Complex-conjugate imprimitivity bimodule, linear space      23
Complex-conjugate imprimitivity bimodule, modules      73
Composition of rigged modules      58
Composition of rigged modules, reduced      59
Concretely induced *-representation      224
Conditional expectation      50
Conditional expectation, basic      198
Conjugate *-representation      301
Convolution (generalized)      134
Covariance algebra      135
Cross-section      100
Cross-section, locally measurable      108
Cross-section, p power summable      108
Cross-sectional $L_p$ space      108
Cross-sectional algebra, $C^*$      173
Cross-sectional algebra, $C^*$, compacted      134
Cross-sectional algebra, $C^*$, discrete      141;
Deduced Hilbert space      31
Deduced Hilbert space, *-representation      46
Deduced Hilbert space, operator inner product      37
Deduced Hilbert space, pre-*-representation      45
Degenerate      26
Direct limit of C*-algebras      177
Direct product bundles      127
Direct sum Hilbert      27
Discrete cross-sectional *-algebra      141
Dual operator inner product      40
Enough continuous cross-sections      100
Enough unitary multipliers      123
Essential space      26
Extension of a *-representation to multiplier algebra      146
Extension of a *-representation to multiplier algebra, multiplier bundle      147
Faithful      26
Fiber      100
Functional of positive type      181
Functional of positive type, associated with a *-representation      189
Generalized regular representation      162
Generated *-representation by a completely positive map      46
Generated *-representation by a completely positive map, by a positive functional      156 157
Glimm algebra      177
Group bundle      127
Group extension      24
Group extension, bundle      129
Group extension, central      24
Group extension, isomorphic      24;
Group extension, trivial      24
Hermitian module      44
Hilbert bundle      100
Hilbert bundle, induced by a *-representation      209
Hilbert direct sum of operator inner products      34
Hilbert direct sum of operator inner products, *-representations      27 142
Homogeneous Banach *-algebraic bundle      123
Imprimitivity *-algebra      76
Imprimitivity bimodule      72
Imprimitivity bimodule, canonical      279
Imprimitivity bimodule, complex-conjugate      73
Imprimitivity bimodule, inducible with respect to      81
Imprimitivity bimodule, positive with respect to      81
Imprimitivity bimodule, strict      73
Imprimitivity bimodule, topologically strict      87
Imprimitivity, system of      86 265 266
Induced *-representation, abstract      51
Induced *-representation, Blattner formulation of      231
Induced *-representation, concrete      224
Induced *-representation, Mackey formulation of      233
Induced *-representation, of $C_0(G/H)$      273
Induced Hilbert bundle      209
Induced system of imprimitivity      273
Inducible with respect to an imprimitivity bimodule      81
Inducible with respect to an imprimitivity bimodule, a rigged module      51
Inductive limit topology      106
Inner hull-kernel topology      71
Integrated form of a multiplier      138
Integrated form of a multiplier, *-representation      150
Integrated form of a multiplier, system of imprimitivity      269
Intertwining operator for operator inner products      29
Intertwining operator for operator inner products, *-representations      26 142
Irreducible      26 142
Isometric      115
Isomorphism of Banach *-algebraic bundles      115
Isomorphism of group extensions      24
L(B)      103
L(B), integrated form      150
L(M)      24
L(M;X)      24
Left action of a multiplier      120
Left order      119
Linear functional on a bundle      180
Locally convex space      25
Locally measurable cross-section      108
Mackey inducing construction      233
Module      25
Module, bounded      46
Module, Hermitian      44
Multiplier      120
Multiplier, *-algebra      121
Multiplier, *-algebra, extension of *-representation to      146
Multiplier, bundle      121
Multiplier, bundle, extension of *-representation to      147
Multiplier, enough unitary      123
Multiplier, integrated form of      138
Multiplier, order of      120
Multiplier, unitary      122
Non-degenerate      26 142
Non-degenerate, (system of imprimitivity) on $E^1$      288
O(X)      25
O(X, Y)      25
Operator inner product      28
Operator inner product, compact      42
Operator inner product, deduced      37
Operator inner product, Hilbert direct sum of      34
Operator inner product, tensor product of      35
Order      113
Order, left      119
Order, of a multiplier      120
Order, right      119
P(B)      18 2
Positive *-representation with respect to Banach *-algebraic bundle      198
Positive *-representation with respect to Banach *-algebraic bundle, imprimitivity bimodule      81
Positive *-representation with respect to Banach *-algebraic bundle, rigged space or module      49
Positive linear functional, *-representation generated by      156 157
Positive type, functional of      181
Positivity, complete      28
Pre-*-representation      25
Pre-*-representation, deduced      45
Primitive $C^*$-algebra      175
Projection-valued measure      265
Projective representation      144
Quasi-linear      119
Quotient topology      71
Reduced Banach *-algebra      160
Reduction of a Banach *-algebraic bundle      114
Reduction of a Banach *-algebraic bundle, bundle      101
Regional topology for *-representations of *-algebras      61
Regional topology for *-representations of *-algebras, bundles      180
Regular projection-valued measure      265
Regular representation, generalized      162
Representation, projective      144
Retraction of a Banach *-algebraic bundle      114
Retraction of a Banach *-algebraic bundle, bundle      101
rho-function      193
Rigged modules      50
Rigged modules, composition of      58
Rigged modules, positive with respect to      51
Rigged modules, reduced composition of      59
Rigged space      47
Rigged space, positive with respect to      49
Rigging      47
Right action of a multiplier      120
Right order      119
Saturated Banach *-algebraic bundle      115
Saturated Banach *-algebraic bundle, $C^*$-algebraic bundle structure      175
Saturated Banach *-algebraic bundle, canonically constructed      321
Semidirect product bundle      126
Seminorm      25
Seminorm, topology generated by a family of      25
Space of a *-representation      26 140
Spherical function      94
Stable subspace      26 142
Strict imprimitivity bimodule      73
Strict imprimitivity bimodule, topologically      87
Strong multiplier topology      121
Structure space      70
Subrepresentation      26 142
Summable vector-valued functions      110 111
Support      103
System of imprimitivity      86 265 266
System of imprimitivity, induced      273
System of imprimitivity, transformation bundle form of      269
Tensor product of operator inner products      35
Tensor product of operator inner products, representations      143
Topologically strict imprimitivity bimodule      87
Topology generated by a family of seminorms      25
Transformation algebra      78
Transformation algebra, $L_1$      136 262
Transformation algebra, compacted      136 262
Transformation bundle      128 260
Transformation bundle, form of a system of imprimitivity      269
Transversal      24
Trivial bundle      101
Trivial group extension      24
Unit element of a Banach *-algebraic bundle      116
Unit fiber *-algebra      115
Unitary equivalence      26 29 14
Unitary multiplier      122
Unitary representation      27
Weak containment      67
Zero representation      26
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