eBookISBN:  9780821881286 
Product Code:  CONM/449.E 
List Price:  $123.00 
MAA Member Price:  $110.70 
AMS Member Price:  $98.40 
eBook ISBN:  9780821881286 
Product Code:  CONM/449.E 
List Price:  $123.00 
MAA Member Price:  $110.70 
AMS Member Price:  $98.40 

Book DetailsContemporary MathematicsVolume: 449; 2008; 446 ppMSC: Primary 22; 28; 43; 46; 58; 81;
George Mackey was an extraordinary mathematician of great power and vision. His profound contributions to representation theory, harmonic analysis, ergodic theory, and mathematical physics left a rich legacy for researchers that continues today. This book is based on lectures presented at an AMS special session held in January 2007 in New Orleans dedicated to his memory. The papers, written especially for this volume by internationallyknown mathematicians and mathematical physicists, range from expository and historical surveys to original highlevel research articles. The influence of Mackey's fundamental ideas is apparent throughout. The introductory article contains recollections from former students, friends, colleagues, and family as well as a biography describing his distinguished career as a mathematician at Harvard, where he held the Landon D. Clay Professorship of Mathematics.
Topics examined here include recent results on induced representations, virtual groups, the Mackey Machine and crossed products, representations of BaumslagSolitar groups, the Radon transform and the heat equation, groupoids in the study of wavelets, and quantum theory. The indepth historical surveys of Mackey's work on representation theory, ergodic theory, and physics, together with recent developments inspired by his fundamental work will be of considerable interest to both graduate students and researchers alike.ReadershipGraduate students and research mathematicians interested in ergodic theory and mathematicial physics.

Table of Contents

Articles

Robert S. Doran and Arlan Ramsay  George Mackey 1916–2006 [ MR 2391796 ]

Scot Adams  Decay to zero of matrix coefficients at adjoint infinity [ MR 2391797 ]

James Arthur  Induced representations, intertwining operators and transfer [ MR 2391798 ]

Lawrence G. Brown  MASA’s and certain type I closed faces of $C^*$algebras [ MR 2391799 ]

Dorin Ervin Dutkay and Palle E. T. Jorgensen  A duality approach to representations of BaumslagSolitar groups [ MR 2391800 ]

Siegfried Echterhoff and Dana P. Williams  The Mackey machine for crossed products: inducing primitive ideals [ MR 2391801 ]

Edward G. Effros  Classifying the unclassifiables [ MR 2391802 ]

Nigel Higson  The Mackey analogy and $K$theory [ MR 2391803 ]

Roger E. Howe  Some recent applications of induced representations [ MR 2391804 ]

Marius Ionescu and Paul S. Muhly  Groupoid methods in wavelet analysis [ MR 2391805 ]

Arthur Jaffe  Quantum theory and relativity [ MR 2391806 ]

A. A. Kirillov  Thoughts about George Mackey and his imprimitivity theorem [ MR 2391807 ]

Calvin C. Moore  Virtual groups 45 years later [ MR 2391808 ]

Fiona Murnaghan  Spherical characters: the supercuspidal case [ MR 2391809 ]

Gestur Ólafsson and Henrik Schlichtkrull  Representation theory, Radon transform and the heat equation on a Riemannian symmetric space [ MR 2391810 ]

Judith A. Packer  Projective representations and the Mackey obstruction—a survey [ MR 2391811 ]

Arlan Ramsay  Virtual groups for group representations [ MR 2391812 ]

Marc A. Rieffel  A global view of equivariant vector bundles and Dirac operators on some compact homogeneous spaces [ MR 2391813 ]

V. S. Varadarajan  George Mackey and his work on representation theory and foundations of physics [ MR 2391814 ]


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George Mackey was an extraordinary mathematician of great power and vision. His profound contributions to representation theory, harmonic analysis, ergodic theory, and mathematical physics left a rich legacy for researchers that continues today. This book is based on lectures presented at an AMS special session held in January 2007 in New Orleans dedicated to his memory. The papers, written especially for this volume by internationallyknown mathematicians and mathematical physicists, range from expository and historical surveys to original highlevel research articles. The influence of Mackey's fundamental ideas is apparent throughout. The introductory article contains recollections from former students, friends, colleagues, and family as well as a biography describing his distinguished career as a mathematician at Harvard, where he held the Landon D. Clay Professorship of Mathematics.
Topics examined here include recent results on induced representations, virtual groups, the Mackey Machine and crossed products, representations of BaumslagSolitar groups, the Radon transform and the heat equation, groupoids in the study of wavelets, and quantum theory. The indepth historical surveys of Mackey's work on representation theory, ergodic theory, and physics, together with recent developments inspired by his fundamental work will be of considerable interest to both graduate students and researchers alike.
Graduate students and research mathematicians interested in ergodic theory and mathematicial physics.

Articles

Robert S. Doran and Arlan Ramsay  George Mackey 1916–2006 [ MR 2391796 ]

Scot Adams  Decay to zero of matrix coefficients at adjoint infinity [ MR 2391797 ]

James Arthur  Induced representations, intertwining operators and transfer [ MR 2391798 ]

Lawrence G. Brown  MASA’s and certain type I closed faces of $C^*$algebras [ MR 2391799 ]

Dorin Ervin Dutkay and Palle E. T. Jorgensen  A duality approach to representations of BaumslagSolitar groups [ MR 2391800 ]

Siegfried Echterhoff and Dana P. Williams  The Mackey machine for crossed products: inducing primitive ideals [ MR 2391801 ]

Edward G. Effros  Classifying the unclassifiables [ MR 2391802 ]

Nigel Higson  The Mackey analogy and $K$theory [ MR 2391803 ]

Roger E. Howe  Some recent applications of induced representations [ MR 2391804 ]

Marius Ionescu and Paul S. Muhly  Groupoid methods in wavelet analysis [ MR 2391805 ]

Arthur Jaffe  Quantum theory and relativity [ MR 2391806 ]

A. A. Kirillov  Thoughts about George Mackey and his imprimitivity theorem [ MR 2391807 ]

Calvin C. Moore  Virtual groups 45 years later [ MR 2391808 ]

Fiona Murnaghan  Spherical characters: the supercuspidal case [ MR 2391809 ]

Gestur Ólafsson and Henrik Schlichtkrull  Representation theory, Radon transform and the heat equation on a Riemannian symmetric space [ MR 2391810 ]

Judith A. Packer  Projective representations and the Mackey obstruction—a survey [ MR 2391811 ]

Arlan Ramsay  Virtual groups for group representations [ MR 2391812 ]

Marc A. Rieffel  A global view of equivariant vector bundles and Dirac operators on some compact homogeneous spaces [ MR 2391813 ]

V. S. Varadarajan  George Mackey and his work on representation theory and foundations of physics [ MR 2391814 ]