Group representations, ergodic theory, and mathematical physics : a tribute to George W. Mackey : AMS special session honoring the memory of George W. Mackey, January 7-8, 2007, New Orleans, Louisiana / / Robert S. Doran, Calvin C. Moore, Robert J. Zimmer, editors

• Record Nr.: UNINA9910822901403321
• Pubbl/distr/stampa: Providence, Rhode Island : , : American Mathematical Society, , [2008]; ©2008
• ISBN: 0-8218-8128-0; 0-8218-5778-9
• Descrizione fisica: 1 online resource (458 p.)
• Collana: Contemporary mathematics, ; 449 , 0271-4132
• Disciplina: 512/.22
• Soggetti: Representations of groups; Ergodic theory; Mathematical physics
• 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.
• Nota di contenuto: Contents -- Preface -- George Mackey 1916-2006 -- Decay to Zero of Matrix Coefficients at Adjoint Infinity -- Induced Representations, Intertwining Operators and Transfer -- MASA's and Certain Type I Closed Faces of C*-algebras -- A Duality Approach to Representations of Baumslag-Solitar Groups -- 1. Introduction -- 2. Wavelet Sets -- 3. Spectral Types -- 4. IndGB(X) -- 5. Haar Measure -- 6. The Plancherel Formula for G -- 7. Finite Dimensional Representations -- 8. Dilations -- 9. Wavelet Questions and Answers for the Group.... -- 10. Concluding Remarks -- The Mackey Machine for Crossed Products: Inducing Primitive Ideals -- Classifying the Unclassifiables -- The Mackey Analogy and K-Theory -- Some Recent Applications of Induced Representations -- Groupoid Methods in Wavelet Analysis -- Quantum Theory and Relativity -- Thoughts about George Mackey and his lmprimitivity Theorem -- Virtual Groups 45 Years Later -- Spherical Characters: The Supercuspidal Case -- Representation Theory, Radon Transform and the Heat Equation on a Riemannian ; Symmetric Space -- Projective Representations and the Mackey Obstruction : A Survey -- Virtual Groups for Group Representations -- A Global View of Equivariant Vector Bundles and Dirac Operators on Some Compact Homogeneous Spaces -- George Mackey and His Work on Representation Theory and Foundations of Physics -- 1. Introduction -- 2. Stone-Von Neumann Theorem, Systems of Imprimitivity, and the Imprimitivity Theorem -- 3. Semi Direct Products and the Little Group Method. Representations of Finite Length and Orbit Schemes -- 4. Super Lie Groups and their Systems of Imprimitivity -- 5. Intertwining Numbers, Double Coset Decompositions, and Irreducibility of Induced Representations -- 6. Projective Representations, Borel Cohomology of Groups, and the Metaplectic Representation -- 7. Foundations of Physics: Hidden Variables and the Mackey-Gleason Theorem.