On a technical theorem of Kasparov
type: Item
instance of: scholarly article
title: On a technical theorem of Kasparov
zbMATH Open document ID: 0623.46035
DOI: 10.1016/0022-1236(87)90059-0
author: Nigel Higson
published in: Journal of Functional Analysis
publication date: 1987-01-01T00:00:00Z
review text: A short proof of the technical theorem underlying G. G. Kasparov's KK- theory is presented. The theorem is concerned with the separation of two orthogonal subalgebras of an outer multiplier algebra M(D)/D by an element in a relative commutant. The proof given here is a simple application of the notion of quasicentral approximate unit.
Mathematics Subject Classification ID: 46L80
zbMATH DE Number: 4011219
zbMATH Keywords: Kasparov's KK-theory
zbMATH Keywords: outer multiplier algebra
zbMATH Keywords: quasicentral approximate unit
MaRDI profile type: Publication
full work available at URL: 0022-1236(87)90059-0
OpenAlex ID: W1996248079
cites work: Notes on extensions of \(C^*\)-algebras
cites work: Double Centralizers and Extensions of C ∗ -Algebras
cites work: THE OPERATORK-FUNCTOR AND EXTENSIONS OFC*-ALGEBRAS
cites work: Q4956084
cites work: On weak and monotone \(\sigma\)-closures of \(C^ *\)-algebras
cites work: Some remarks on Kasparov theory
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description: scientific article; zbMATH DE number 4011219