Amenability and co-amenability of algebraic quantum groups

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We define concepts of amenability and co-amenability for algebraic quantum groups in the sense of A. Van Daele. We show that co-amenability of an algebraic quantum group always implies amenability of its dual. Various necessary and/or sufficient conditions for amenability or co-amenability are obtained. Co-amenability is shown to have interesting consequences for the modular theory in the case that the algebraic quantum group is of compact type.
25 pages, with some minor corrections, as to appear in the IJMMS

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Operator Algebras, 46L05, 46L65, 22D25

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http://salesiana.dossiersoluciones.com/handle/123456789/62550

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0111025
 http://arxiv.org/abs/math/0111025

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arXiv