%0 Journal Article %T Isometries between groups of invertible elements in $C^{*}$-algebras %A Osamu Hatori %A Keiichi Watanabe %J Mathematics %D 2011 %I arXiv %X In this paper we describe all surjective isometries between open subgroups of the groups of invertible elements in unital $C^{*}$-algebras. %U http://arxiv.org/abs/1105.3780v1