Open AccessZero-in-the-spectrum conjecture on regular covers of compact manifolds
Author(s) -
Piotr W. Nowak
Publication year - 2009
Publication title -
commentarii mathematici helvetici
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.603
H-Index - 46
eISSN - 1420-8946
pISSN - 0010-2571
DOI - 10.4171/cmh/159
Subject(s) - mathematics , zero (linguistics) , conjecture , spectrum (functional analysis) , pure mathematics , topology (electrical circuits) , combinatorics , philosophy , linguistics , physics , quantum mechanics
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 p1(\mathcal{N}) is C*-exact.
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