Cyclic homology of totally disconnected groups acting on buildings

Nigel Higson; Victor Nistor

doi:10.1006/jfan.1996.0138

Cyclic homology of totally disconnected groups acting on buildings

Nigel Higson
, Victor Nistor

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

14 Scopus citations

Abstract

We prove a homological counterpart of a conjecture of P. Baum and A. Connes, concerning K-theory for convolution C*-algebras of p-adic groups, by calculating the periodic cyclic homology for the convolution algebra of a totally disconnected group acting properly on a building.

Original language	English (US)
Pages (from-to)	466-495
Number of pages	30
Journal	Journal of Functional Analysis
Volume	141
Issue number	2
DOIs	https://doi.org/10.1006/jfan.1996.0138
State	Published - Nov 1 1996

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10.1006/jfan.1996.0138

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title = "Cyclic homology of totally disconnected groups acting on buildings",

abstract = "We prove a homological counterpart of a conjecture of P. Baum and A. Connes, concerning K-theory for convolution C*-algebras of p-adic groups, by calculating the periodic cyclic homology for the convolution algebra of a totally disconnected group acting properly on a building.",

author = "Nigel Higson and Victor Nistor",

note = "Funding Information: * Partially supported by NSF Grant DMS 92-01290 and an Alfred P. Sloan Foundation Research Fellowship. -Partially supported by NSF Grant DMS 92-05548 and a NSF Young Investigator Award, DMS 94-57859.",

year = "1996",

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doi = "10.1006/jfan.1996.0138",

language = "English (US)",

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journal = "Journal of Functional Analysis",

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AU - Higson, Nigel

AU - Nistor, Victor

N1 - Funding Information: * Partially supported by NSF Grant DMS 92-01290 and an Alfred P. Sloan Foundation Research Fellowship. -Partially supported by NSF Grant DMS 92-05548 and a NSF Young Investigator Award, DMS 94-57859.

PY - 1996/11/1

Y1 - 1996/11/1

N2 - We prove a homological counterpart of a conjecture of P. Baum and A. Connes, concerning K-theory for convolution C*-algebras of p-adic groups, by calculating the periodic cyclic homology for the convolution algebra of a totally disconnected group acting properly on a building.

AB - We prove a homological counterpart of a conjecture of P. Baum and A. Connes, concerning K-theory for convolution C*-algebras of p-adic groups, by calculating the periodic cyclic homology for the convolution algebra of a totally disconnected group acting properly on a building.

UR - https://www.scopus.com/pages/publications/0030295656

UR - https://www.scopus.com/pages/publications/0030295656#tab=citedBy

U2 - 10.1006/jfan.1996.0138

DO - 10.1006/jfan.1996.0138

M3 - Article

AN - SCOPUS:0030295656

SN - 0022-1236

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SP - 466

EP - 495

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

IS - 2

ER -

Cyclic homology of totally disconnected groups acting on buildings

Abstract

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