Geodesic
The algebraic and topological $K$-theory of the Hilbert modular group
Homology, homotopy, and applications, Tome 20 (2018) no. 2, pp. 377-402.

Voir la notice de l'article provenant de la source International Press of Boston

In this paper we provide descriptions of the Whitehead groups with coefficients in a ring for the Hilbert modular group (and its reduced version).We also compute the rational topological $K$-theory of their reduced $C^*$-algebras. This is done by computing the source of the assembly maps in the Farrell–Jones and the Baum–Connes conjecture respectively. We also construct a model for the classifying space of the Hilbert modular group for the family of virtually cyclic subgroups.
DOI : 10.4310/HHA.2018.v20.n2.a19
Classification : 19B99, 19D35, 11F41
Keywords: $K$- and $L$-theory, Farrell–Jones conjecture, Baum–Connes conjecture, classifying space, equivariant homology theory 
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     author = {Luis Jorge S\'anchez Salda\~na and Mario Vel\'asquez},
     title = {The algebraic and topological $K$-theory of the {Hilbert} modular group},
     journal = {Homology, homotopy, and applications},
     pages = {377--402},
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     year = {2018},
     doi = {10.4310/HHA.2018.v20.n2.a19},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4310/HHA.2018.v20.n2.a19/}
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Luis Jorge Sánchez Saldaña; Mario Velásquez. The algebraic and topological $K$-theory of the Hilbert modular group. Homology, homotopy, and applications, Tome 20 (2018) no. 2, pp. 377-402. doi : 10.4310/HHA.2018.v20.n2.a19. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2018.v20.n2.a19/

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