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arXiv 2017-06-14 0 views

The algebraic and topological K-theory of the Hilbert Modular Group

Saldaña, Luis Jorge Sánchez · Velásquez, Mario

Original · EN

In this paper we provide descriptions of the Whitehead groups with coefficients in a ring of the Hilbert modular group and its reduced version, as well as for the topological K-theory of C*-algebras, after tensoring with Q, 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.

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