Commentarii Mathematici Helvetici

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Volume 84, Issue 1, 2009, pp. 213–222

DOI: 10.4171/CMH/159

Zero-in-the-spectrum conjecture on regular covers of compact manifolds

Piotr W. Nowak (1)

(1) Department of Mathematics, Texas A&M University, TX 77843-3368, COLLEGE STATION, UNITED STATES

We prove the zero-in-the-spectrum conjecture for large, regular covers associated to amenable subgroups of fundamental group of a closed manifold $\mathcal{N}$, provided that π₁(\mathcal{N}) is C*-exact.

Keywords: Property A, exact group, zero-in-the-spectrum conjecture