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Chern Character for the Schwartz Algebra of p ‐Adic GL( n )
Author(s) -
Brodzki Jacek,
Plymen Roger
Publication year - 2002
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/s002460930100861x
Subject(s) - mathematics , isomorphism (crystallography) , character (mathematics) , cyclic homology , homology (biology) , algebra over a field , pure mathematics , geometry , gene , crystallography , biochemistry , chemistry , cohomology , crystal structure
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 C.
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