Gröbner bases for *-algebars and faithful operator representations

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Sufficient conditions for existence of a faithful representation of a *-algebra in terms of its Göbner basis is presented. Proposed construction of faithful representation is applicable to concrete examples: *-doubles, monomial *-algebras, extension of a *-algebras allowing Wick ordering and others. Several examples and counterexamples are presented.

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Operator Algebras, 47L30;16W10

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http://salesiana.dossiersoluciones.com/handle/123456789/100824

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0407419
 http://arxiv.org/abs/math/0407419

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arXiv