Żuk’s criterion for Banach spaces and random groups
We prove a Banach version of Żuk’s criterion for groups acting on partite (i.e., colorable) simplicial complexes. Using this new criterion, we derive a new fixed point theorem for random groups in the Gromov density model with respect to several classes of Banach spaces ( $L^p$ spaces, Hilbert...
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Format: | Article |
Language: | English |
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Cambridge University Press
2023-01-01
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Series: | Forum of Mathematics, Sigma |
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Online Access: | https://www.cambridge.org/core/product/identifier/S2050509423000804/type/journal_article |