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arXiv · 1202.3866

K-theory and the connection index

Tayyab Kamran·Roger Plymen
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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).

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Tayyab Kamran, Roger Plymen. 2012-02-17. K-theory and the connection index. https://doi.org/10.1112/blms%2Fbds071

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