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research article
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.
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Type
research article
Web of Science ID
WOS:000346123300003
Authors
Publication date
2014
Publisher
Published in
Volume
51
Issue
4
Start page
905
End page
934
Peer reviewed
REVIEWED
EPFL units
Available on Infoscience
February 20, 2015