Lipschitzness of *-homomorphisms between C*-metric algebras

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dc.creatorWu, Wei
dc.date2009-01-18
dc.date2009-01-23
dc.date.accessioned2026-07-07T12:32:52Z
dc.date.available2026-07-07T12:32:52Z
dc.descriptionA 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.
dc.description10 pages. *-homomorphism between C*-metric algebras added to Definition 2.5. An error in Proposition 3.2 is corrected. A few minor improvements elsewhere
dc.identifierhttps://arxiv.org/abs/0901.2695
dc.identifierhttp://arxiv.org/abs/0901.2695
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/216930
dc.subjectOperator Algebras
dc.subject46L87; 46L05
dc.titleLipschitzness of *-homomorphisms between C*-metric algebras
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