03222nam 2200589 450 991081724160332120180613001307.01-4704-0454-0(CKB)3360000000465034(EBL)3114037(SSID)ssj0000973194(PQKBManifestationID)11539949(PQKBTitleCode)TC0000973194(PQKBWorkID)10959276(PQKB)11129832(MiAaPQ)EBC3114037(RPAM)14165786(PPN)195417380(EXLCZ)99336000000046503420051108h20062006 uy| 0engur|n|---|||||txtccrA categorical approach to imprimitivity theorems for C*-dynamical systems /Siegfried Echterhoff [and three others]Providence, Rhode Island :American Mathematical Society,[2006]©20061 online resource (186 p.)Memoirs of the American Mathematical Society,0065-9266 ;number 850Description based upon print version of record.0-8218-3857-1 Includes bibliographical references (pages 167-169) and index.""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""Memoirs of the American Mathematical Society ;no. 850.C*-algebrasCategories (Mathematics)C*-algebras.Categories (Mathematics)510 s512/.556Echterhoff Siegfried1960-1629105Echterhoff Siegfried1960-1629105MiAaPQMiAaPQMiAaPQBOOK9910817241603321-dynamical systems3966624UNINA