On a technical theorem of Kasparov

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Abstract

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.

Original languageEnglish (US)
Pages (from-to)107-112
Number of pages6
JournalJournal of Functional Analysis
Volume73
Issue number1
DOIs
StatePublished - Jul 1987

All Science Journal Classification (ASJC) codes

  • Analysis

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