Simple lacunary hyperbolic Kazhdan groups of rational cohomological dimension 16 are built with arbitrary positive real second ℓ²-Betti number.
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math.GR 2years
2025 2verdicts
UNVERDICTED 2representative citing papers
The authors resolve the p=1 case of Thom's question by establishing the existence of groups that are not L^1-approximable.
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Kazhdan groups of dimension $16$ with prescribed second $\ell^2$-Betti number
Simple lacunary hyperbolic Kazhdan groups of rational cohomological dimension 16 are built with arbitrary positive real second ℓ²-Betti number.
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On $L^1$-approximation of groups
The authors resolve the p=1 case of Thom's question by establishing the existence of groups that are not L^1-approximable.