Isometries between groups of invertible elements in C*-algebras

Osamu Hatori, and Keiichi Watanabe. "Isometries between groups of invertible elements in C*-algebras." Studia Mathematica 209.2 (2012): 103-106. <http://eudml.org/doc/285455>.

@article{OsamuHatori2012,
abstract = {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.},
author = {Osamu Hatori, Keiichi Watanabe},
journal = {Studia Mathematica},
keywords = {-algebras; isometries; groups of invertible elements},
language = {eng},
number = {2},
pages = {103-106},
title = {Isometries between groups of invertible elements in C*-algebras},
url = {http://eudml.org/doc/285455},
volume = {209},
year = {2012},
}

TY - JOUR
AU - Osamu Hatori
AU - Keiichi Watanabe
TI - Isometries between groups of invertible elements in C*-algebras
JO - Studia Mathematica
PY - 2012
VL - 209
IS - 2
SP - 103
EP - 106
AB - 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.
LA - eng
KW - -algebras; isometries; groups of invertible elements
UR - http://eudml.org/doc/285455
ER -