Using the Følner condition for coamenable quantum groups we derive information about the ring-theoretical structure of the Hopf algebras arising from such quantum groups, as well as an approximation result concerning the Murray–von Neumann dimension associated with the corresponding the von Neumann algebra.
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David Kyed, Andreas Thom, Applications of Følner's condition to quantum groups. J. Noncommut. Geom. 7 (2013), no. 2, pp. 547–561DOI 10.4171/JNCG/126