Graphs of groups and the Atiyah conjecture for one-relator groups
Warren Dicks (UA Barcelona), Thomas Schick (Uni Muenster)
TL;DR
This paper initially aimed to connect graphs of groups with the Atiyah conjecture for one-relator groups but was withdrawn due to a gap in a key proof, affecting its main results.
Contribution
The paper attempted to establish new links between graphs of groups and the Atiyah conjecture for one-relator groups, but its main results are currently invalidated.
Findings
Main results based on a flawed proposition
The proof gap affects the validity of the conclusions
No new validated results are presented
Abstract
Paper withdrawn because of a gap in the proof of Proposition 3 of Thomas Schick: "Integrality of L2-Betti numbers", Math. Ann. 317, 727-750 (arXiv.org/abs/math.gt/0001101). Most results of the withdrawn paper were based on this proposition.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsGeometric and Algebraic Topology · Advanced Operator Algebra Research · Finite Group Theory Research