Titelaufnahme
Titelaufnahme
- TitelL²-Betti numbers of coamenable quantum groups
- Verfasser
- Enthalten inMünster Journal of Mathematics, H. Münster Journal of Mathematics, S. 143-180
- Erschienen
- SpracheEnglisch
- DokumenttypAufsatz in einer Zeitschrift
- URN
Zugriffsbeschränkung
- Das Dokument ist frei verfügbar
Links
- Social MediaShare
- Nachweis
- IIIF
Dateien
Klassifikation
Abstract
We prove that a compact quantum group is coamenable if and only if its corepresentation ring is amenable. We further propose a Følner condition for compact quantum groups and prove it to be equivalent to coamenability. Using this Følner 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 L²-Betti numbers.
Statistik
- Das PDF-Dokument wurde 4 mal heruntergeladen.