Journal of the Mathematical Society of Japan
Online ISSN : 1881-1167
Print ISSN : 0025-5645
ISSN-L : 0025-5645
Secondary Novikov-Shubin invariants of groups and quasi-isometry
Shin-ichi Oguni
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Keywords: L2-invariants, Novikov-Shubin invariants, random walk, Cayley graphs, quasi-isometry
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2007 Volume 59 Issue 1 Pages 223-237

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Abstract
We define new L2-invariants which we call secondary Novikov-Shubin invariants. We calculate the first secondary Novikov-Shubin invariants of finitely generated groups by using random walk on Cayley graphs and see in particular that these are invariant under quasi-isometry.
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© 2007 The Mathematical Society of Japan
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