L^2-Betti numbers of coamenable quantum groups
| dc.creator | Kyed, David | |
| dc.date | 2007-04-12 | |
| dc.date | 2008-11-27 | |
| dc.date.accessioned | 2026-07-07T12:04:38Z | |
| dc.date.available | 2026-07-07T12:04:38Z | |
| dc.description | We prove that a compact quantum group is coamenable if and only if its corepresentation ring is amenable. We further propose a Foelner condition for compact quantum groups and prove it to be equivalent to coamenability. Using this Foelner condition, we prove that for a coamenable compact quantum group with tracial Haar state, the enveloping von Neumann algebra is dimension flat over the Hopf algebra of matrix coefficients. This generalizes a theorem of Lueck from the group case to the quantum group case, and provides examples of compact quantum groups with vanishing L^2-Betti numbers. | |
| dc.description | Mistake in the proof of Theorem 6.1 is corrected. To appear in Munster Journal of Mathematics. 42 pages | |
| dc.identifier | https://arxiv.org/abs/0704.1582 | |
| dc.identifier | http://arxiv.org/abs/0704.1582 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/208160 | |
| dc.subject | Operator Algebras | |
| dc.subject | Quantum Algebra | |
| dc.subject | 16W30,43A07, 46L89, 16E30 | |
| dc.title | L^2-Betti numbers of coamenable quantum groups | |
| dc.type | text |