A groupoid approach to Lück's amenability conjecture

David Kyed, Henrik Densing Petersen

Research output: Contribution to journalJournal articleResearchpeer-review


We prove that amenability of a discrete group is equivalent to dimension flatness of certain ring inclusions naturally associated with measure preserving actions of the group. This provides a group-measure space theoretic solution to a conjecture of Lück stating that amenability of a group is characterized by dimension flatness of the inclusion of its complex group algebra into the associated von Neumann algebra.

Original languageEnglish
JournalOsaka Journal of Mathematics
Issue number4
Pages (from-to)905-934
Publication statusPublished - 1. Oct 2014
Externally publishedYes


Dive into the research topics of 'A groupoid approach to Lück's amenability conjecture'. Together they form a unique fingerprint.

Cite this