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CHERN CHARACTER FOR THE SCHWARTZ ALGEBRA OF p-ADIC GL(n)

Published online by Cambridge University Press:  15 March 2002

JACEK BRODZKI  and
ROGER PLYMEN
JACEK BRODZKI
Affiliation:
Faculty of Mathematical Studies, University of Southampton, Southampton SO17 1BJ [email protected]
ROGER PLYMEN
Affiliation:
Department of Mathematics, University of Manchester, Manchester M13 9PL [email protected]
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Abstract

Let G denote the p-adic group GL(n), and let S(G) denote the Schwartz algebra of G. We construct a Chern character from the K-theory of the reduced C*-algebra of G to the periodic cyclic homology of S(G) which becomes an isomorphism after tensoring over ℤ with [Copf ].

Type
PAPERS
Information
Bulletin of the London Mathematical Society , Volume 34 , Issue 2 , March 2002 , pp. 219 - 228
Copyright
© 2002 The London Mathematical Society

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