1.

Record Nr.

UNINA9910480875503321

Autore

Echterhoff Siegfried <1960->

Titolo

A categorical approach to imprimitivity theorems for C-dynamical systems / / Siegfried Echterhoff [and three others]

Pubbl/distr/stampa

Providence, Rhode Island : , : American Mathematical Society, , [2006]

©2006

ISBN

1-4704-0454-0

Descrizione fisica

1 online resource (186 p.)

Collana

Memoirs of the American Mathematical Society, , 0065-9266 ; ; number 850

Disciplina

510 s

512/.556

Soggetti

C*-algebras

Categories (Mathematics)

Electronic books.

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references (pages 167-169) and index.

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""