Dynamical correspondences of $L^2$-Betti numbers

Bingbing Liang

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arXiv · 1702.04416

Dynamical correspondences of $L^2$-Betti numbers

Bingbing Liang

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Abstract

We investigate dynamical analogues of the $L^2$-Betti numbers for modules over integral group ring of a discrete sofic group. In particular, we show that the $L^2$-Betti numbers exactly measure the failure of addition formula for dynamical invariants.

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BibTeX RIS

Bingbing Liang. 2017-10-12. Dynamical correspondences of $L^2$-Betti numbers. https://arxiv.org/abs/1702.04416

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