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On L2-Betti Numbers for Abelian Groups

Published online by Cambridge University Press:  20 November 2018

Harold Donnelly
Harold Donnelly*
Affiliation:
Department of Mathematics, Purdue University
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Let M be a differentiable manifold which admits the free action of a group Γ with compact quotient M’ = M/Γ. Suppose that the Γ action lifts to a Hermitian vector bundle E→M. If Γ leaves invariant a measure μ on M, then denote by L2(E) the completion of with respect to the inner product .

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 24 , Issue 1 , 01 March 1981 , pp. 91 - 95
Copyright
Copyright © Canadian Mathematical Society 1981

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