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- W1489737304 abstract "We explore the Mayer-Vietoris sequence developed by Chiswell for the fundamental group of a graph of groups when vertex groups satisfy some vanishing assumption on the first cohomology (e.g. property (T), or vanishing of the first $ell^2$-Betti number). We characterize the vanishing of first reduced cohomology of unitary representations when vertex stabilizer have property (T). We find necessary and sufficient conditions for the vanishing of the first $ell^2$-Betti number. We also study the associated Haagerup cocycle and show that it vanishes in first reduced cohomology precisely when the action is elementary." @default.
- W1489737304 created "2016-06-24" @default.
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- W1489737304 date "2014-12-11" @default.
- W1489737304 modified "2023-09-27" @default.
- W1489737304 title "The Mayer-Vietoris Sequence for Graphs of Groups, Property (T), and the First $ell^2$-Betti Number" @default.
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- W1489737304 hasPublicationYear "2014" @default.
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