1.

Record Nr.

UNINA9910479924003321

Titolo

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

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

Disciplina

512/.22

Soggetti

Representations of groups

Ergodic theory

Mathematical physics

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.

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 G = B xα Z""

""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""