2009.80: K-theory and the connection index
2009.80: Tayyab Kamran and Roger Plymen (2009) K-theory and the connection index.
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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 spherical C*-algebra of G and prove that the rank of the K-theory group K_0 is the connection index f(G). We relate this result to the recent conjecture in http://eprints.ma.man.ac.uk/1553 and to a recent result of Solleveld in http://arxiv.org/abs/1008.0177.
| Item Type: | MIMS Preprint |
|---|---|
| Uncontrolled Keywords: | Local field, p-adic group, connection index, K-theory |
| Subjects: | MSC 2000 > 19 K-theory MSC 2000 > 22 Topological groups, Lie groups |
| MIMS number: | 2009.80 |
| Deposited By: | Professor Roger Plymen |
| Deposited On: | 10 May 2011 |
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