K-Theory and Representation Theory

"This book provides a tool-kit for the advanced study of symmetry, one of the most important concepts in mathematics and physics. Full of detailed examples, it discusses some of the most exciting interactions between operator algebras and representation theory, at a level suited to PhD students and young researchers"--

List of contents

List of contributors; Preface; 1. Group C*-algebras, C*-correspondences and K-Theory Bram Mesland and Mehmet Haluk ¿engün; 2. Tempered representations of semisimple Lie groups Peter Hochs; 3. Dirac operators and representation theory Hang Wang; 4. Representation theory of p-adic reductive groups Anne-Marie Aubert; Index.

About the author

Roger Plymen is Emeritus Professor at Manchester University and Visiting Professor at Southampton University. He recently published 'The Great Prime Number Race' (2020). His paper from 1983, “The Dirac Operator and the Principal Series for Complex Semisimple Lie Groups,” co-authored by Michael G. Penington, was a springboard for several of the developments in this book.Mehmet Haluk Şengün is Senior Lecturer at University of Sheffield. Originally from Istanbul, Dr. Şengün's mathematical trajectory took him to Madison, Essen, Barcelona, Bonn, Warwick and finally Sheffield. An algebraic number theorist by training, Dr. Şengün's recent research has focused on bringing tools and ideas from C*-algebras and Noncommutative Geometry to the theory of automorphic forms and the Langlands Programme.

Summary

This book provides a tool-kit for the advanced study of symmetry, one of the most important concepts in mathematics and physics. Full of detailed examples, it discusses some of the most exciting interactions between operator algebras and representation theory, at a level suited to PhD students and young researchers.

Product details

• Authors: Roger (University of Manchester) Sengun Plymen
• Assisted by: Roger Plymen (Editor), Roger (University of Manchester) Plymen (Editor), Mehmet Haluk Sengun (Editor), Mehmet Haluk (University of Sheffield) Sengun (Editor), Mehmet Haluk Şengün (Editor)
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Paperback / Softback
• Released: 01.11.2024
• EAN: 9781009201506
• ISBN: 978-1-0-0920150-6
• No. of pages: 224
• Series: London Mathematical Society Lecture Note Series
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Geometry; SCIENCE / Physics / Mathematical & Computational, MATHEMATICS / Functional Analysis, MATHEMATICS / Geometry / Algebraic, MATHEMATICS / Number Theory, MATHEMATICS / Topology, Algebraic Geometry, Number Theory, Mathematical physics, Functional analysis & transforms, Algebraic Topology, Functional analysis and transforms, For graduate / post-graduate and equivalents