Oguni, Shinichi Secondary Novikov-Shubin invariants of groups and quasi-isometry. (English) Zbl 1132.46042 J. Math. Soc. Japan 59, No. 1, 223-227 (2007). 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. Cited in 1 Document MSC: 46L89 Other “noncommutative” mathematics based on \(C^*\)-algebra theory 20F65 Geometric group theory Keywords:Novikov-Shubin invariants of finitely generated groups; random walks on Cayley graphs; quasi-isometries PDF BibTeX XML Cite \textit{S. Oguni}, J. Math. Soc. Japan 59, No. 1, 223--227 (2007; Zbl 1132.46042) Full Text: DOI OpenURL