Secondary Novikov-Shubin invariants of groups and quasi-isometry

Shin-ichi OGUNI

doi:10.2969/jmsj/1180135508

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Home > Journals > J. Math. Soc. Japan > Volume 59 > Issue 1 > Article

January, 2007 Secondary Novikov-Shubin invariants of groups and quasi-isometry

Shin-ichi OGUNI

J. Math. Soc. Japan 59(1): 223-237 (January, 2007). DOI: 10.2969/jmsj/1180135508

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Abstract

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 walk on Cayley graphs and see in particular that these are invariant under quasi-isometry.

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Shin-ichi OGUNI. "Secondary Novikov-Shubin invariants of groups and quasi-isometry." J. Math. Soc. Japan 59 (1) 223 - 237, January, 2007. https://doi.org/10.2969/jmsj/1180135508

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Published: January, 2007

First available in Project Euclid: 25 May 2007

zbMATH: 1132.46042

MathSciNet: MR2302670

Digital Object Identifier: 10.2969/jmsj/1180135508

Subjects:

Primary: 58J50

Secondary: 60C05

Keywords: Cayley graphs , L^{2}-invariants , Novikov-Shubin invariants , quasi-isometry , Random walk

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J. Math. Soc. Japan

Vol.59 • No. 1 • January, 2007

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Shin-ichi OGUNI "Secondary Novikov-Shubin invariants of groups and quasi-isometry," Journal of the Mathematical Society of Japan, J. Math. Soc. Japan 59(1), 223-237, (January, 2007)

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