Isometries between groups of invertible elements in -algebras
Tom 209 / 2012
Studia Mathematica 209 (2012), 103-106
MSC: Primary 46L05; Secondary 46B04.
DOI: 10.4064/sm209-2-1
Streszczenie
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.
