English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We study existence, uniqueness and triviality of path cocycles in the quantumCayley graph of universal discrete quantum groups. In the orthogonal case wefind that the unique path cocycle is trivial, in contrast with the case of freegroups where it is proper. In the unitary case it is neither bounded norproper. From this geometrical result we deduce the vanishing of the firstL^2-Betti number of A_o(I_n).

Paths in quantum Cayley trees and L^2-cohomology