PERTURBATIONS OF C*-ALGEBRAIC INVARIANTS

Erik Christensen, Allan Sinclair, Roger R. Smith, Stuart White

Research output: Contribution to journalArticlepeer-review

Abstract

Kadison and Kastler introduced a metric on the set of all C*-algebras on a fixed Hilbert space. In this paper structural properties of C*-algebras which are close in this metric are examined. Our main result is that the property of having a positive answer to Kadison's similarity problem transfers to close C*-algebras. In establishing this result we answer questions about closeness of commutants and tensor products when one algebra satisfies the similarity property. We also examine K-theory and traces of close C*-algebras, showing that sufficiently close algebras have isomorphic Elliott invariants when one algebra has the similarity property.

Original languageEnglish
Pages (from-to)368-397
Number of pages30
JournalGeometric and Functional Analysis
Volume20
Issue number2
DOIs
Publication statusPublished - Aug 2010

Fingerprint

Dive into the research topics of 'PERTURBATIONS OF C*-ALGEBRAIC INVARIANTS'. Together they form a unique fingerprint.

Cite this