Cyclic homology of totally disconnected groups acting on buildings
type: Item
instance of: scholarly article
title: Cyclic homology of totally disconnected groups acting on buildings
zbMATH Open document ID: 0921.46083
author: Nigel Higson
author: Victor Nistor
published in: Journal of Functional Analysis
publication date: 1999-09-17T00:00:00Z
review text: The authors compute the periodic cyclic homology for the convolution algebra \(C_c^\infty(G)\) of a totally disconnected group acting properly and simplicially on an affine building. Joint work of the first author with \textit{P. Baum} and \textit{A. Connes} [Contemp. Math. 167, 241-291 (1994; Zbl 0830.46061)] is cited for an analogous conjecture concerning the \(K\)-theory of \(C^*_r(G)\).
Mathematics Subject Classification ID: 46M20
Mathematics Subject Classification ID: 46L80
zbMATH DE Number: 950739
zbMATH Keywords: Bruhat-Tits building
zbMATH Keywords: cyclic homology
zbMATH Keywords: convolution algebra
zbMATH Keywords: \(K\)-theory
reviewed by: Edward A. Azoff
MaRDI profile type: Publication
OpenAlex ID: W2133059000
DOI: 10.1006/JFAN.1996.0138
description: scientific article; zbMATH DE number 950739