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arXiv · 2201.03268

Twisted $L^2$-Betti numbers of sofic groups

Jan Boschheidgen·Andrei Jaikin-Zapirain
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Abstract

Wolfang L\"uck asked if twisted $L^2$-Betti numbers of a group are equal to the usual $L^2$-Betti numbers rescaled by the dimension of the twisting representation. We confirm this for sofic groups.

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Jan Boschheidgen, Andrei Jaikin-Zapirain. 2022-01-10. Twisted $L^2$-Betti numbers of sofic groups. https://arxiv.org/abs/2201.03268

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