K-Theory and Representation Theory

Detailed lecture notes covering applications of C*-algebras and K-theory to the representation theory of reductive real and p-adic groups.

Roger Plymen (Edited by), Mehmet Haluk Şengün (Edited by)

9781009201506, Cambridge University Press

Paperback / softback, published 28 November 2024

224 pages
22.8 x 15.3 x 1.2 cm, 0.33 kg

Symmetry is one of the most important concepts in mathematics and physics. Emerging from the 2021 LMS-Bath Summer School, this book provides Ph.D. students and young researchers with some of the essential tools for the advanced study of symmetry. Illustrated with numerous examples, it explores some of the most exciting interactions between Dirac operators, K-theory and representation theory of real reductive groups. The final chapter provides a self-contained account of the representation theory of p-adic groups, from the very basics to an advanced perspective, with many arithmetic aspects.

List of contributors
Preface
1. Group C*-algebras, C*-correspondences and K-Theory Bram Mesland and Mehmet Haluk Şengün
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.

Subject Areas: Geometry [PBM]