Geodesic
Isometries between groups of invertible elements in $C^{*}$-algebras
Osamu Hatori1 ; Keiichi Watanabe1
1 Department of Mathematics Faculty of Science Niigata University 950-2181 Niigata, Japan
Studia Mathematica, Tome 209 (2012) no. 2, pp. 103-106

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We describe all surjective isometries between open subgroups of the groups of invertible elements in unital $C^{*}$-algebras. As a consequence the two $C^{*}$-algebras are Jordan $*$-isomorphic if and only if the groups of invertible elements in those $C^{*}$-algebras are isometric as metric spaces.
DOI : 10.4064/sm209-2-1
Keywords: describe surjective isometries between subgroups groups invertible elements unital * algebras consequence * algebras jordan * isomorphic only groups invertible elements those * algebras isometric metric spaces

Osamu Hatori 1 ; Keiichi Watanabe 1

1 Department of Mathematics Faculty of Science Niigata University 950-2181 Niigata, Japan 
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Osamu Hatori; Keiichi Watanabe. Isometries between groups of invertible elements
 in $C^{*}$-algebras. Studia Mathematica, Tome 209 (2012) no. 2, pp. 103-106. doi: 10.4064/sm209-2-1

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