RAPID DECAY IS PRESERVED BY GRAPH PRODUCTS

DOI10.1142/S1793525313500052zbMath1286.43002arXiv1110.6831MaRDI QIDQ5300677

Sarah Rees, Derek F. Holt, Laura Ciobanu

Publication date: 27 June 2013

Published in: Journal of Topology and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.6831

zbMATH Keywords

normal formsgraph productslength functionsrapid decayfree and direct products

Mathematics Subject Classification ID

Selfadjoint operator algebras ((C^*)-algebras, von Neumann ((W^*)-) algebras, etc.) (46L99) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15)

Related Items (7)

The CCAP for graph products of operator algebras ⋮ Graph product Khintchine inequalities and Hecke \(C^\ast \)-algebras: Haagerup inequalities, (non)simplicity, nuclearity and exactness ⋮ Introduction to the Rapid Decay property ⋮ Graph products of operator algebras ⋮ Rapid decay and Baum-Connes for large type Artin groups ⋮ Connes embeddability of graph products ⋮ The rapid decay property and centroids in groups

Cites Work

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• On linear and residual properties of graph products
• When is the graph product of hyperbolic groups hyperbolic?
• Some geometric groups with rapid decay
• An introduction to right-angled Artin groups.
• ORDERING GRAPH PRODUCTS OF GROUPS
• TOPOLOGY OF RANDOM RIGHT ANGLED ARTIN GROUPS
• When Is a Graph Product of Groups Virtually-Free?

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