### 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 language | English |
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Pages (from-to) | 120-128 |

Number of pages | 9 |

Journal | Archiv der Mathematik |

Volume | 74 |

Issue number | 2 |

Publication status | Published - Feb 1 2000 |

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### ASJC Scopus subject areas

- Mathematics(all)

### Cite this

*Archiv der Mathematik*,

*74*(2), 120-128.

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

Research output: Contribution to journal › Article

*Archiv der Mathematik*, vol. 74, no. 2, pp. 120-128.

}

TY - JOUR

T1 - Reflexivity of the automorphism and isometry groups of C*-algebras in BDF theory

AU - Molnár, L.

PY - 2000/2/1

Y1 - 2000/2/1

N2 - 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. .

AB - 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. .

UR - http://www.scopus.com/inward/record.url?scp=0034344369&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0034344369&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0034344369

VL - 74

SP - 120

EP - 128

JO - Archiv der Mathematik

JF - Archiv der Mathematik

SN - 0003-889X

IS - 2

ER -