Quantum isometry group of dual of finitely generated discrete groups - II
Annales mathématiques Blaise Pascal, Tome 23 (2016) no. 2, pp. 219-247.

As a continuation of the programme of [13], we carry out explicit computations of (Γ,S), the quantum isometry group of the canonical spectral triple on C r * (Γ) coming from the word length function corresponding to a finite generating set S, for several interesting examples of Γ not covered by the previous work [13]. These include the braid group of 3 generators, 4 *n etc. Moreover, we give an alternative description of the quantum groups H s + (n,0) and K n + (studied in [3], [4]) in terms of free wreath product. In the last section we give several new examples of groups for which (Γ) turns out to be a doubling of C * (Γ).

DOI : 10.5802/ambp.361
Classification : 58B34, 46L87, 46L89
Mots clés : Compact quantum group, Quantum isometry group, Spectral triple
Mandal, Arnab 1

1 Indian Statistical Institute 203, B. T Road Kolkata 700108, India
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Mandal, Arnab. Quantum isometry group of dual of finitely generated discrete groups - II. Annales mathématiques Blaise Pascal, Tome 23 (2016) no. 2, pp. 219-247. doi : 10.5802/ambp.361. http://archive.numdam.org/articles/10.5802/ambp.361/

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