Abstract
Atiyah [9, page 72] asked the question, whether the analytic L 2-Betti numbers b p(2) of a cocompact free proper Riemannian G-manifold with G-invariant Riemannian metric and without boundary, which are defined in terms of the heat kernel (see (1.60)), are always rational numbers. This is implied by the following conjecture which we call the (strong) Atiyah Conjecture in view of Atiyah’s question above.
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© 2002 Springer-Verlag Berlin Heidelberg
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Lück, W. (2002). The Atiyah Conjecture. In: L 2-Invariants: Theory and Applications to Geometry and K-Theory. Ergebnisse der Mathematik und ihrer Grenzgebiete, vol 44. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-04687-6_11
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DOI: https://doi.org/10.1007/978-3-662-04687-6_11
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-07810-1
Online ISBN: 978-3-662-04687-6
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