Reflexivity of the Automorphism and Isometry Groups of Some Standard Operator Algebras
نویسنده
چکیده
In this paper we answer a question raised in [Mol] by giving an example of a proper standard C∗-subalgebra of B(H) whose automorphism and isometry groups are topologically reflexive. After this we prove that in the case of extensions of the C∗-algebra C(H) of all compact operators by separable commutative C∗algebras, these groups are algebraically reflexive. Concerning the most well-known extension of C(H) by C(T) (the algebra of all continuous complex valued functions on the perimeter of the unit disc) we show that the automorphism and isometry groups are topologically nonreflexive.
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