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A categorical approach to imprimitivity theorems for C-dynamical systems / / Siegfried Echterhoff [and three others]
| A categorical approach to imprimitivity theorems for C-dynamical systems / / Siegfried Echterhoff [and three others] |
| Autore | Echterhoff Siegfried <1960-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2006] |
| Descrizione fisica | 1 online resource (186 p.) |
| Disciplina |
510 s
512/.556 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
C*-algebras
Categories (Mathematics) |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0454-0 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""2.7. Morphisms and induced representations""""Chapter 3. The Functors""; ""3.1. Crossed products""; ""3.2. Restriction and inflation""; ""3.3. Decomposition""; ""3.4. Induced actions""; ""3.5. Combined functors""; ""Chapter 4. The Natural Equivalences""; ""4.1. Statement of the main results""; ""4.2. Some further linking algebra techniques""; ""4.3. Green's Theorem for induced algebras""; ""4.4. Green's Theorem for induced representations""; ""4.5. Mansfield's Theorem""; ""Chapter 5. Applications""; ""5.1. Equivariant triangles""; ""5.2. Restriction and induction""
""5.3. Symmetric imprimitivity""""Appendix A. Crossed Products by Actions and Coactions""; ""A.1. Tensor products""; ""A.2. Actions and their crossed products""; ""A.3. Coactions""; ""A.4. Slice maps and nondegeneracy""; ""A.5. Covariant representations and crossed products""; ""A.6. Dual actions and decomposition coactions""; ""A.7. Normal coactions and normalizations""; ""A.8. The duality theorems of Imai-Takai and Katayama""; ""A.9. Other definitions of coactions""; ""Appendix B. The Imprimitivity Theorems of Green and Mansfield""; ""B.1. Imprimitivity theorems for actions"" ""B.2. Mansfield's imprimitivity bimodule""""Appendix C. Function Spaces""; ""C.1. The spaces C[sub(c)](T,Ï?) for locally convex spaces Ï?""; ""C.2. Functions in multiplier algebras and multiplier bimodules""; ""Appendix. Bibliography"" |
| Record Nr. | UNINA-9910480875503321 |
Echterhoff Siegfried <1960->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2006] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
A categorical approach to imprimitivity theorems for C-dynamical systems / / Siegfried Echterhoff [and three others]
| A categorical approach to imprimitivity theorems for C-dynamical systems / / Siegfried Echterhoff [and three others] |
| Autore | Echterhoff Siegfried <1960-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2006] |
| Descrizione fisica | 1 online resource (186 p.) |
| Disciplina |
510 s
512/.556 |
| Altri autori (Persone) | EchterhoffSiegfried <1960-> |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
C*-algebras
Categories (Mathematics) |
| ISBN | 1-4704-0454-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""2.7. Morphisms and induced representations""""Chapter 3. The Functors""; ""3.1. Crossed products""; ""3.2. Restriction and inflation""; ""3.3. Decomposition""; ""3.4. Induced actions""; ""3.5. Combined functors""; ""Chapter 4. The Natural Equivalences""; ""4.1. Statement of the main results""; ""4.2. Some further linking algebra techniques""; ""4.3. Green's Theorem for induced algebras""; ""4.4. Green's Theorem for induced representations""; ""4.5. Mansfield's Theorem""; ""Chapter 5. Applications""; ""5.1. Equivariant triangles""; ""5.2. Restriction and induction""
""5.3. Symmetric imprimitivity""""Appendix A. Crossed Products by Actions and Coactions""; ""A.1. Tensor products""; ""A.2. Actions and their crossed products""; ""A.3. Coactions""; ""A.4. Slice maps and nondegeneracy""; ""A.5. Covariant representations and crossed products""; ""A.6. Dual actions and decomposition coactions""; ""A.7. Normal coactions and normalizations""; ""A.8. The duality theorems of Imai-Takai and Katayama""; ""A.9. Other definitions of coactions""; ""Appendix B. The Imprimitivity Theorems of Green and Mansfield""; ""B.1. Imprimitivity theorems for actions"" ""B.2. Mansfield's imprimitivity bimodule""""Appendix C. Function Spaces""; ""C.1. The spaces C[sub(c)](T,Ï?) for locally convex spaces Ï?""; ""C.2. Functions in multiplier algebras and multiplier bimodules""; ""Appendix. Bibliography"" |
| Record Nr. | UNINA-9910788741303321 |
|
Echterhoff Siegfried <1960->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2006] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
A categorical approach to imprimitivity theorems for C-dynamical systems / / Siegfried Echterhoff [and three others]
| A categorical approach to imprimitivity theorems for C-dynamical systems / / Siegfried Echterhoff [and three others] |
| Autore | Echterhoff Siegfried <1960-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2006] |
| Descrizione fisica | 1 online resource (186 p.) |
| Disciplina |
510 s
512/.556 |
| Altri autori (Persone) | EchterhoffSiegfried <1960-> |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
C*-algebras
Categories (Mathematics) |
| ISBN | 1-4704-0454-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""2.7. Morphisms and induced representations""""Chapter 3. The Functors""; ""3.1. Crossed products""; ""3.2. Restriction and inflation""; ""3.3. Decomposition""; ""3.4. Induced actions""; ""3.5. Combined functors""; ""Chapter 4. The Natural Equivalences""; ""4.1. Statement of the main results""; ""4.2. Some further linking algebra techniques""; ""4.3. Green's Theorem for induced algebras""; ""4.4. Green's Theorem for induced representations""; ""4.5. Mansfield's Theorem""; ""Chapter 5. Applications""; ""5.1. Equivariant triangles""; ""5.2. Restriction and induction""
""5.3. Symmetric imprimitivity""""Appendix A. Crossed Products by Actions and Coactions""; ""A.1. Tensor products""; ""A.2. Actions and their crossed products""; ""A.3. Coactions""; ""A.4. Slice maps and nondegeneracy""; ""A.5. Covariant representations and crossed products""; ""A.6. Dual actions and decomposition coactions""; ""A.7. Normal coactions and normalizations""; ""A.8. The duality theorems of Imai-Takai and Katayama""; ""A.9. Other definitions of coactions""; ""Appendix B. The Imprimitivity Theorems of Green and Mansfield""; ""B.1. Imprimitivity theorems for actions"" ""B.2. Mansfield's imprimitivity bimodule""""Appendix C. Function Spaces""; ""C.1. The spaces C[sub(c)](T,Ï?) for locally convex spaces Ï?""; ""C.2. Functions in multiplier algebras and multiplier bimodules""; ""Appendix. Bibliography"" |
| Record Nr. | UNINA-9910817241603321 |
|
Echterhoff Siegfried <1960->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2006] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Crossed products with continuous trace / / Siegfried Echterhoff
| Crossed products with continuous trace / / Siegfried Echterhoff |
| Autore | Echterhoff Siegfried <1960-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1996 |
| Descrizione fisica | 1 online resource (149 p.) |
| Disciplina | 512/.55 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
C*-algebras
Locally compact groups Representations of groups Crossed products |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0171-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Abstract""; ""Introduction""; ""Chapter 1. Preliminaries and basic definitions""; ""1.1. Twisted covariant systems and crossed products""; ""1.2. Representation and ideal spaces of C*-algebras""; ""1.3. Morita equivalence and imprimitivity bimodules""; ""1.4. Induced representations and the Mackey-Green machine""; ""Chapter 2. Morita equivalent twisted actions and duality""; ""2.1. Morita equivalent twisted actions""; ""2.2. Morita equivalence and duality for abelian twisted systems""; ""Chapter 3. Representations of type I abelian twisted systems""
""3.1. Maximally pointwise unitary subgroups""""3.2. Abelian twisted systems with type I crossed products""; ""3.3. Maximally pointwise unitary subgroups for dual systems""; ""Chapter 4. Subgroup crossed products""; ""4.1. Subgroup algebras and regularizations""; ""4.2. Open regularizations and subgroup actions""; ""4.3. Decomposition of crossed products by subgroup algebras""; ""4.4. Subgroup crossed products and duality""; ""Chapter 5. Crossed products with continuous trace""; ""5.1. Subgroup crossed products and Ï?-proper G-spaces""; ""5.2. Pointwise unitary subgroup actions"" ""5.3. Systems with continuous choices of maximally pointwise unitary subgroups""""5.4. Continuous trace for systems with Hausdorff quasi-orbit space""; ""5.5. Systems with continuously varying stabilizers""; ""Chapter 6. Applications and Examples""; ""6.1. Crossed products by Ï?-proper actions""; ""6.2. Actions of R, Z and T""; ""6.3. Examples and applications to certain group C*-algebras""; ""Some concluding remarks""; ""References"" |
| Record Nr. | UNINA-9910480693203321 |
|
Echterhoff Siegfried <1960->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1996 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Crossed products with continuous trace / / Siegfried Echterhoff
| Crossed products with continuous trace / / Siegfried Echterhoff |
| Autore | Echterhoff Siegfried <1960-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1996 |
| Descrizione fisica | 1 online resource (149 p.) |
| Disciplina | 512/.55 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
C*-algebras
Locally compact groups Representations of groups Crossed products |
| ISBN | 1-4704-0171-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Abstract""; ""Introduction""; ""Chapter 1. Preliminaries and basic definitions""; ""1.1. Twisted covariant systems and crossed products""; ""1.2. Representation and ideal spaces of C*-algebras""; ""1.3. Morita equivalence and imprimitivity bimodules""; ""1.4. Induced representations and the Mackey-Green machine""; ""Chapter 2. Morita equivalent twisted actions and duality""; ""2.1. Morita equivalent twisted actions""; ""2.2. Morita equivalence and duality for abelian twisted systems""; ""Chapter 3. Representations of type I abelian twisted systems""
""3.1. Maximally pointwise unitary subgroups""""3.2. Abelian twisted systems with type I crossed products""; ""3.3. Maximally pointwise unitary subgroups for dual systems""; ""Chapter 4. Subgroup crossed products""; ""4.1. Subgroup algebras and regularizations""; ""4.2. Open regularizations and subgroup actions""; ""4.3. Decomposition of crossed products by subgroup algebras""; ""4.4. Subgroup crossed products and duality""; ""Chapter 5. Crossed products with continuous trace""; ""5.1. Subgroup crossed products and Ï?-proper G-spaces""; ""5.2. Pointwise unitary subgroup actions"" ""5.3. Systems with continuous choices of maximally pointwise unitary subgroups""""5.4. Continuous trace for systems with Hausdorff quasi-orbit space""; ""5.5. Systems with continuously varying stabilizers""; ""Chapter 6. Applications and Examples""; ""6.1. Crossed products by Ï?-proper actions""; ""6.2. Actions of R, Z and T""; ""6.3. Examples and applications to certain group C*-algebras""; ""Some concluding remarks""; ""References"" |
| Record Nr. | UNINA-9910788750503321 |
|
Echterhoff Siegfried <1960->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1996 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Crossed products with continuous trace / / Siegfried Echterhoff
| Crossed products with continuous trace / / Siegfried Echterhoff |
| Autore | Echterhoff Siegfried <1960-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1996 |
| Descrizione fisica | 1 online resource (149 p.) |
| Disciplina | 512/.55 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
C*-algebras
Locally compact groups Representations of groups Crossed products |
| ISBN | 1-4704-0171-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Abstract""; ""Introduction""; ""Chapter 1. Preliminaries and basic definitions""; ""1.1. Twisted covariant systems and crossed products""; ""1.2. Representation and ideal spaces of C*-algebras""; ""1.3. Morita equivalence and imprimitivity bimodules""; ""1.4. Induced representations and the Mackey-Green machine""; ""Chapter 2. Morita equivalent twisted actions and duality""; ""2.1. Morita equivalent twisted actions""; ""2.2. Morita equivalence and duality for abelian twisted systems""; ""Chapter 3. Representations of type I abelian twisted systems""
""3.1. Maximally pointwise unitary subgroups""""3.2. Abelian twisted systems with type I crossed products""; ""3.3. Maximally pointwise unitary subgroups for dual systems""; ""Chapter 4. Subgroup crossed products""; ""4.1. Subgroup algebras and regularizations""; ""4.2. Open regularizations and subgroup actions""; ""4.3. Decomposition of crossed products by subgroup algebras""; ""4.4. Subgroup crossed products and duality""; ""Chapter 5. Crossed products with continuous trace""; ""5.1. Subgroup crossed products and Ï?-proper G-spaces""; ""5.2. Pointwise unitary subgroup actions"" ""5.3. Systems with continuous choices of maximally pointwise unitary subgroups""""5.4. Continuous trace for systems with Hausdorff quasi-orbit space""; ""5.5. Systems with continuously varying stabilizers""; ""Chapter 6. Applications and Examples""; ""6.1. Crossed products by Ï?-proper actions""; ""6.2. Actions of R, Z and T""; ""6.3. Examples and applications to certain group C*-algebras""; ""Some concluding remarks""; ""References"" |
| Record Nr. | UNINA-9910828259503321 |
|
Echterhoff Siegfried <1960->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1996 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||