%0 Journal Article
%T Lipschitzness of *-homomorphisms between C*-metric algebras
%A Wei Wu
%J Mathematics
%D 2009
%I arXiv
%X A C*-metric algebra consists of a unital C*-algebra and a Leibniz Lip-norm on the C*-algebra. We show that if the Lip-norms concerned are lower semicontinuous, then any unital *-homomorphism from a C*-metric algebra to another one is necessarily Lipschitz. It results that the free product of two Lipschitz unital *-homomorphisms between C*-metric algebras coming from *-filtrations is still a Lipschitz unital *-homomorphism.
%U http://arxiv.org/abs/0901.2695v2