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Representation theory of groups and algebras

About this Title

Jeffrey Adams, Rebecca Herb, Stephen Kudla, Jian-Shu Li, Ron Lipsman and Jonathan Rosenberg, Editors

Publication: Contemporary Mathematics
Publication Year: 1993; Volume 145
ISBNs: 978-0-8218-5168-5 (print); 978-0-8218-7736-4 (online)
DOI: https://doi.org/10.1090/conm/145
MathSciNet review: 1216178

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Table of Contents

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Front/Back Matter

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Part I. Keynote speakers

• Aleksandr Aleksandrovich Kirillov – The orbit method. I. Geometric quantization [MR 1216179]
• Aleksandr Aleksandrovich Kirillov – The orbit method. II. Infinite-dimensional Lie groups and Lie algebras [MR 1216180]
• Joachim Cuntz – Quantized differential forms in noncommutative topology and geometry [MR 1216181]
• Gennadi Kasparov – Novikov’s conjecture on higher signatures: the operator $K$-theory approach [MR 1216182]
• Dan Voiculescu – $\textrm {II}_1$-factors of free groups and random matrices [MR 1216183]

Part II. $p$-adic groups

• Thomas C. Hales – A simple definition of transfer factors for unramified groups [MR 1216184]
• Michael J. Heumos – Models and periods for automorphic forms on $\textrm {GL}_n$ [MR 1216185]
• Lawrence Morris – The admissible dual via restriction to open compact subgroups [MR 1216186]
• Fiona Murnaghan – Asymptotic behaviour of supercuspidal characters [MR 1216187]

Part III. Symmetric spaces, real groups, and the orbit method

• Erik van den Ban and Henrik Schlichtkrull – Multiplicities in the Plancherel decomposition for a semisimple symmetric space [MR 1216188]
• Chal Benson, Joe Jenkins and Gail Ratcliff – $\textrm {O}(n)$-spherical functions on Heisenberg groups [MR 1216189]
• Frédéric Bien – Orbits, multiplicities and differential operators [MR 1216190]
• Mogens Flensted-Jensen – A simple approach to $D_\lambda$-modules [MR 1216191]
• Jian-Shu Li – Theta series and construction of automorphic forms [MR 1216192]
• Bong H. Lian and Gregg J. Zuckerman – An application of infinite-dimensional Lie theory to semisimple Lie groups [MR 1216193]
• Hisayosi Matumoto – On the existence of homomorphisms between scalar generalized Verma modules [MR 1216194]
• Siddhartha Sahi – Unitary representations on the Shilov boundary of a symmetric tube domain [MR 1216195]
• W. Schmid and K. Vilonen – Characters, fixed points and Osborne’s conjecture [MR 1216196]
• David A. Vogan, Jr. – The local Langlands conjecture [MR 1216197]

Part IV. $C^*$-algebras

• Robert P. Boyer – Representation theory of infinite-dimensional unitary groups [MR 1216198]
• Marius Dădărlat – $C^*$-algebras and applications [MR 1216199]
• George A. Elliott – Are amenable $C^*$-algebras classifiable
• Elliot C. Gootman – Spectra for group actions [MR 1216201]
• Victor Nistor – Higher McKean-Singer index formulae and noncommutative geometry [MR 1216202]
• Robert T. Powers and Geoffrey L. Price – Binary shifts on the hyperfinite $\textrm {II}_1$ factor [MR 1216203]
• Marc A. Rieffel – Compact quantum groups associated with toral subgroups [MR 1216204]