On a question of Atiyah

Citation
Ri. Grigorchuk et al., On a question of Atiyah, CR AC S I, 331(9), 2000, pp. 663-668
Citations number
19
Categorie Soggetti
Mathematics
Journal title
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE
ISSN journal
07644442 → ACNP
Volume
331
Issue
9
Year of publication
2000
Pages
663 - 668
Database
ISI
SICI code
0764-4442(20001101)331:9<663:OAQOA>2.0.ZU;2-P
Abstract
In this Note we explain how the computation of the spectrum of the lampligh ter group from [9] yields a counterexample to a strong version of the Atiya h conjectures about the range of L-2-Betti numbers of closed manifolds. (C) 2000 Academie des sciences/Editions scientifiques et medicales Elsevier SA S.