Chern character for the Schwartz algebra of p-adic GL(n)

Jacek Brodzki; Roger Plymen

doi:10.1112/S002460930100861X

Chern character for the Schwartz algebra of p-adic GL(n)

Jacek Brodzki
, Roger Plymen

Research output: Contribution to journal › Article › peer-review

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 ℂ.

Original language	English
Pages (from-to)	219-228
Number of pages	9
Journal	Bulletin of the London Mathematical Society
Volume	34
Issue number	2
DOIs	https://doi.org/10.1112/S002460930100861X
Publication status	Published - Mar 2002

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title = "Chern character for the Schwartz algebra of p-adic GL(n)",

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 ℂ.",

author = "Jacek Brodzki and Roger Plymen",

year = "2002",

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AU - Plymen, Roger

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AB - 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.

U2 - 10.1112/S002460930100861X

DO - 10.1112/S002460930100861X

M3 - Article

SN - 0024-6093

VL - 34

SP - 219

EP - 228

JO - Bulletin of the London Mathematical Society

JF - Bulletin of the London Mathematical Society

IS - 2

ER -

Chern character for the Schwartz algebra of p-adic GL(n)

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