Structure of the group of automorphisms of C$^{*}$-algebras

Details Structure of the group of automorphisms of C$^{*}$-algebras Structure of the group of automorphisms of C$^{*}$-algebras

1998-09-19

arxiv.org/abs/math/9809109v1

Mathematics

Operator Algebras

11 pages, LaTeX

Scientific paper

We obtain a kind of structure theorem for the automorphism group ${\rm
Aut}{\cal A}$ of a unital C$^{*}$-algebra ${\cal A}$. According to it, ${\rm
Aut}{\cal A}$ can be regarded as a subgroup of the semi-direct product of
direct product group consisting of some family of projective unitary groups and
some permutation group on the spectrum of ${\cal A}$.

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