A Groupoid Approach to Luck's Amenability Conjecture
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 Luck 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.
- View record in Web of Science
Record created on 2015-02-20, modified on 2016-08-09