K-theory for the \(C^ *\)-algebras of the discrete Heisenberg group
type: Item
instance of: scholarly article
title: K-theory for the \(C^ *\)-algebras of the discrete Heisenberg group
zbMATH Open document ID: 0617.46076
author: Kazunori Kodaka
published in: Tokyo Journal of Mathematics
publication date: 1986-01-01T00:00:00Z
review text: We show that the \(K_ j\)-groups of \(C^*(G)\), \(K_ j(C^*(G))\), \(j=0,1\), are isomorphic to \({\mathbb{Z}}^ 3\) and that \(\tau_*(K_ 0(C^*(G)))={\mathbb{Z}}\), where \(C^*(G)\) is the group \(C^*\)-algebra of the discrete Heisenberg group G and \(\tau_*\) is the homomorphism of \(K_ 0(C^*(G))\) associated to the canonical trace \(\tau\) on \(C^*(G)\).
Mathematics Subject Classification ID: 46L80
zbMATH DE Number: 4000782
zbMATH Keywords: K\({}_ j\)-groups
zbMATH Keywords: group \(C^ *\)-algebra of the discrete Heisenberg group
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.3836/tjm/1270150725
OpenAlex ID: W1983873585
DOI: 10.3836/TJM/1270150725
description: scientific article; zbMATH DE number 4000782