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Secondary Novikov-Shubin invariants of groups and quasi-isometry. (English) Zbl 1132.46042

Summary: We define new \(L^2\)-invariants which we call secondary Novikov-Shubin invariants. We calculate the first secondary Novikov-Shubin invariants of finitely generated groups by using random walks on Cayley graphs and see, in particular, that these are invariant under quasi-isometry.

MSC:

46L89 Other “noncommutative” mathematics based on \(C^*\)-algebra theory
20F65 Geometric group theory
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