TY  - JOUR
AB  - 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.
AU  - Kyed, David
DA  - 2008
LA  - eng
IS  - Münster Journal of Mathematics
M2  - 143
PY  - 2008
SP  - 143-180
T2  - Münster Journal of Mathematics
TI  - L²-Betti numbers of coamenable quantum groups
UR  - https://nbn-resolving.org/urn:nbn:de:hbz:6-43529460657
Y2  - 2024-12-26T20:29:26
ER  -