Kasparov products and dual algebras
type: Item
instance of: scholarly article
title: Kasparov products and dual algebras
zbMATH Open document ID: 0910.46053
author: John Roe
published in: Journal of Functional Analysis
publication date: 1999-04-20T00:00:00Z
review text: \textit{N. Higson's} treatment [J. Funct. Anal. 129, No. 2, 349-363 (1995; Zbl 0828.46060)] of Kasparov's analytic \(K\)-homology theory [\textit{G. G. Kasparov}, Math. USSR, Izv. 9 (1975), 751-792 (1976; Zbl 0337.58006) and ibid. 16, 513-572 (1981; Zbl 0464.46054)] covers the exactness and excision properties of \(K\)-homology, but stops short of the Kasparov product \(K^i(A)\times K^j(B)\to K^{i+ j}(A\otimes B)\). The purpose of this paper is to show that this product itself can be given a ``dual'' Higson's interpretation in terms of the external product in ordinary \(K\)-theory.
Mathematics Subject Classification ID: 46L80
zbMATH DE Number: 1199753
zbMATH Keywords: Kasparov's analytic \(K\)-homology
zbMATH Keywords: exactness
zbMATH Keywords: excision
zbMATH Keywords: Kasparov product
reviewed by: Liliana Răileanu
MaRDI profile type: Publication
full work available at URL: jfan.1997.3224
OpenAlex ID: W2038689198
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DOI: 10.1006/JFAN.1997.3224
description: scientific article; zbMATH DE number 1199753