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

Katsunori Kawamura
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Abstract

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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Katsunori Kawamura. 1998-09-19. Structure of the group of automorphisms of C$^{*}$-algebras. https://arxiv.org/abs/math/9809109

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