Lipschitzness of *-homomorphisms between C*-metric algebras

Details Lipschitzness of *-homomorphisms between C*-metric algebras Lipschitzness of *-homomorphisms between C*-metric algebras

2009-01-18

arxiv.org/abs/0901.2695v2

Mathematics

Operator Algebras

10 pages. *-homomorphism between C*-metric algebras added to Definition 2.5. An error in Proposition 3.2 is corrected. A few m

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Lipschitzness of *-homomorphisms between C*-metric algebras does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Lipschitzness of *-homomorphisms between C*-metric algebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Lipschitzness of *-homomorphisms between C*-metric algebras will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-701942