A proof of the Baum-Connes conjecture for reductive adelic groups

Paul Baum; Stephen Millington; Roger Flymen

doi:10.1016/S0764-4442(00)01810-3

A proof of the Baum-Connes conjecture for reductive adelic groups

Paul Baum, Stephen Millington, Roger Flymen

Mathematics

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

3 Scopus citations

Abstract

Let F be a global field, A its ring of adeles, G a reductive group over F. We prove the Baum-Connes conjecture for the adelic group G(double-struck A).

Original language	English (US)
Pages (from-to)	195-200
Number of pages	6
Journal	Comptes Rendus de l'Academie des Sciences - Series I: Mathematics
Volume	332
Issue number	3
DOIs	https://doi.org/10.1016/S0764-4442(00)01810-3
State	Published - Feb 1 2001

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1016/S0764-4442(00)01810-3

Cite this

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title = "A proof of the Baum-Connes conjecture for reductive adelic groups",

abstract = "Let F be a global field, A its ring of adeles, G a reductive group over F. We prove the Baum-Connes conjecture for the adelic group G(double-struck A).",

author = "Paul Baum and Stephen Millington and Roger Flymen",

note = "Funding Information: Acknowledgements. We would like to thank Paula Cohen, Georges Skandalis and Vincent Lafforgue for several valuable conversations. Paul Baum was partially supported by an NSF grant.",

year = "2001",

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doi = "10.1016/S0764-4442(00)01810-3",

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T1 - A proof of the Baum-Connes conjecture for reductive adelic groups

AU - Baum, Paul

AU - Millington, Stephen

AU - Flymen, Roger

N1 - Funding Information: Acknowledgements. We would like to thank Paula Cohen, Georges Skandalis and Vincent Lafforgue for several valuable conversations. Paul Baum was partially supported by an NSF grant.

PY - 2001/2/1

Y1 - 2001/2/1

N2 - Let F be a global field, A its ring of adeles, G a reductive group over F. We prove the Baum-Connes conjecture for the adelic group G(double-struck A).

AB - Let F be a global field, A its ring of adeles, G a reductive group over F. We prove the Baum-Connes conjecture for the adelic group G(double-struck A).

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SN - 0764-4442

VL - 332

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JO - Comptes Rendus de l'Academie des Sciences - Series I: Mathematics

JF - Comptes Rendus de l'Academie des Sciences - Series I: Mathematics

IS - 3

ER -

A proof of the Baum-Connes conjecture for reductive adelic groups

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