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arXiv · 0912.1093

Reduced 1-cohomology and relative property (T)

Talia Fernós·Alain Valette
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Abstract

Shalom characterized property (T) in terms of the vanishing of all reduced first cohomology. We characterize group pairs having the property that the restriction map on all first reduced cohomology vanishes. We show that, in a strong sense, this is inequivalent to relative property (T).

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Talia Fernós, Alain Valette. 2009-12-06. Reduced 1-cohomology and relative property (T). https://arxiv.org/abs/0912.1093

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