K-homology of continuous fields of noncommutative tori
type: Item
instance of: scholarly article
title: K-homology of continuous fields of noncommutative tori
zbMATH Open document ID: 1189.46062
author: Takahiro Sudo
published in: Nihonkai Mathematical Journal
publication date: 2008-11-03T00:00:00Z
review text: If \(A\) is a \(C^{*}\)-algebra, then its \(K\)-homology groups are given by \(KK^{0}(A,\mathbb C)\) and \(KK^{1}(A,\mathbb C)\). In the paper under review, the author exhibits explicit generators for the well-known \(K\)-homology group of the \(n\)-tori \(\mathbb{T}^{n}\). He then uses this to exhibit generators of the \(K\)-homology groups of the discrete and generalized discrete Heisenberg group \(C^*\)-algebras. He also examines continuous fields of rotation algebras over tori.
reviewed by: Dana P. Williams
Mathematics Subject Classification ID: 46L80
Mathematics Subject Classification ID: 46L05
Mathematics Subject Classification ID: 46L87
Mathematics Subject Classification ID: 19K33
zbMATH DE Number: 5360267
zbMATH Keywords: \(C^*\)-algebra
zbMATH Keywords: \(K\)-homology
zbMATH Keywords: continuous field
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 5360267