Reflexivity of the automorphism and isometry groups of C*-algebras in BDF theory

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Abstract

We prove that the automorphism and isometry groups of any extension of the C*-algebra script capital C sign(ℋ) of all compact operators by a separable commutative C*-algebra are algebraically reflexive. Concerning the possibly most important extensions by the algebra C(double-struck T sign) of all continuous complex valued functions on the perimeter of the unit disc, we show that these groups are topologically nonreflexive. .

Original languageEnglish
Pages (from-to)120-128
Number of pages9
JournalArchiv der Mathematik
Volume74
Issue number2
Publication statusPublished - Feb 1 2000

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Reflexivity
Isometry Group
Automorphism Group
C*-algebra
Compact Operator
Perimeter
Unit Disk

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Reflexivity of the automorphism and isometry groups of C*-algebras in BDF theory. / Molnár, L.

In: Archiv der Mathematik, Vol. 74, No. 2, 01.02.2000, p. 120-128.

Research output: Contribution to journalArticle

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