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• W2963564912 abstract "We study existence, uniqueness and triviality of path cocycles in the quantum Cayley graph of universal discrete quantum groups. In the orthogonal case we find that the unique path cocycle is trivial, in contrast with the case of free groups where it is proper. In the unitary case it is neither bounded nor proper. From this geometrical result we deduce the vanishing of the first L2-Betti number of Ao(In)." @default.
• W2963564912 created "2019-07-30" @default.
• W2963564912 creator A5004454484 @default.
• W2963564912 date "2012-03-01" @default.
• W2963564912 modified "2023-10-14" @default.
• W2963564912 title "Paths in quantum Cayley trees and <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML altimg=si1.gif overflow=scroll><mml:msup><mml:mi>L</mml:mi><mml:mn>2</mml:mn></mml:msup></mml:math>-cohomology" @default.
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• W2963564912 doi "https://doi.org/10.1016/j.aim.2012.01.011" @default.
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