Hopf C*-algebras

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In this paper we introduce the notion of a Hopf C*-algebra and construct the counit and antipode. A Hopf C*-algebra is a C*-algebra with comultiplication satisfying some extra condition which makes possible the construction of the counit and antipode. The leading example is of course the C*-algebra of continuous, vanishing at infinity functions on a locally compact group. Also locally compact quantum groups will be examples. We include several formulas for the counit and antipode which are familiar from Hopf algebra theory.
50 pages, LaTeX 2e

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Operator Algebras, Functional Analysis

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http://salesiana.dossiersoluciones.com/handle/123456789/78777

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9907030
 http://arxiv.org/abs/math/9907030
 Proc. London Math. Soc. (3) 82, 2001, 337-384.

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arXiv