Amenability and coamenability of algebraic quantum groups
We define concepts of amenability and coamenability for algebraic quantum groups in the sense of Van Daele (1998). We show that coamenability of an algebraic quantum group always implies amenability of its dual. Various necessary and/or sufficient conditions for amenability or coamenability are obta...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2002-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S016117120210603X |
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| Summary: | We define concepts of amenability and coamenability for algebraic
quantum groups in the sense of Van Daele (1998). We show that
coamenability of an algebraic quantum group always implies amenability of its dual. Various necessary and/or sufficient conditions for amenability or
coamenability are obtained. Coamenability is shown to have
interesting consequences for the modular theory in the case that
the algebraic quantum group is of compact type. |
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| ISSN: | 0161-1712 1687-0425 |