Isometries between groups of invertible elements in C*-algebras
Osamu Hatori ; Keiichi Watanabe
Studia Mathematica, Tome 209 (2012), p. 103-106 / Harvested from The Polish Digital Mathematics Library
Access to full text
Full (PDF)

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.

Publié le : 2012-01-01
EUDML-ID : urn:eudml:doc:285455 
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm209-2-1,
     author = {Osamu Hatori and Keiichi Watanabe},
     title = {Isometries between groups of invertible elements in C*-algebras},
     journal = {Studia Mathematica},
     volume = {209},
     year = {2012},
     pages = {103-106},
     zbl = {1260.46036},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm209-2-1}
}

Osamu Hatori; Keiichi Watanabe. Isometries between groups of invertible elements in C*-algebras. Studia Mathematica, Tome 209 (2012) pp. 103-106. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm209-2-1/