2009.80: K-theory and the connection index
2009.80: Tayyab Kamran and Roger Plymen (2009) K-theory and the connection index.
This is the latest version of this eprint.
Full text available as:
|PDF - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader|
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
|Deposited By:||Professor Roger Plymen|
|Deposited On:||10 May 2011|
Available Versions of this Item
- K-theory and the connection index (deposited 10 May 2011) [Currently Displayed]