K-theory and the connection index
K-Theory and Homology
2014-02-26 v1 Representation Theory
Abstract
Let G denote a split simply connected almost simple p-adic group. The classical example is the special linear group SL(n). We study the K-theory of the unramified unitary principal series of G and prove that the rank of K_0 is the connection index f(G). We relate this result to a recent refinement of the Baum-Connes conjecture, and show explicitly how generators of K_0 contribute to the K-theory of the Iwahori C*-algebra I(G).
Keywords
Cite
@article{arxiv.1202.3866,
title = {K-theory and the connection index},
author = {Tayyab Kamran and Roger Plymen},
journal= {arXiv preprint arXiv:1202.3866},
year = {2014}
}
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11 pages