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4 - Representation Theory of p-Adic Reductive Groups

Published online by Cambridge University Press:  06 November 2024

Edited by
Roger Plymen  and
Mehmet Haluk Şengün
Roger Plymen
Affiliation:
University of Manchester
Mehmet Haluk Şengün
Affiliation:
University of Sheffield
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Summary

We present some fundamental aspects of the representation theory of reductive p-adic groups, mapping out some recent developments, including the ABPS conjecture and the description of the structure of the reduced C*-algebras of reductive groups. The exposition proceeds fairly rapidly, but is essentially self-contained.

Keywords

reductive p-adic groups: structure theoryrepresentation theorysmooth dualtempered dualgroup C*-algebrasK-theoryABPS conjecture
Type
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K-Theory and Representation Theory , pp. 157 - 211
Publisher: Cambridge University Press
Print publication year: 2024

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