Hilbert space compression under direct limits and certain group extensions

DOI10.1090/S0002-9939-2012-11341-3zbMath1343.20043arXiv1009.2014OpenAlexW2962941565MaRDI QIDQ4908257

Dennis Dreesen

Publication date: 5 March 2013

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1009.2014

zbMATH Keywords

hyperbolic groupsgroups of polynomial growthHilbert space compressiondirect limits of groups

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Extensions, wreath products, and other compositions of groups (20E22) Hyperbolic groups and nonpositively curved groups (20F67) Embeddings of discrete metric spaces into Banach spaces; applications in topology and computer science (46B85)

Cites Work

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• Central extensions of word hyperbolic groups
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• The coarse Baum-Connes conjecture and groupoids
• The coarse Baum-Connes conjecture for spaces which admit a uniform embedding into Hilbert space
• Compression of uniform embeddings into Hilbert space.
• Remarks on Yu’s ‘property A’ for discrete metric spaces and groups
• Embeddings of Discrete Groups and the Speed of Random Walks
• Compression bounds for wreath products
• BOUNDED COCYCLES AND COMBINGS OF GROUPS
• EXACTNESS AND UNIFORM EMBEDDABILITY OF DISCRETE GROUPS
• Constructions preserving Hilbert space uniform embeddability of discrete groups
• REGULAR COCYCLES AND BIAUTOMATIC STRUCTURES

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