THE ALGEBRAIC AND TOPOLOGICAL K-THEORY OF THE HILBERT MODULAR GROUP

被引：3

作者：

Sanchez Saldana, Luis Jorge ^{[1
]}

Velasquez, Mario ^{[2
]}

机构：

[1] Univ Nacl Autonoma Mexico, Unidad Cuernavaca, Inst Matemat, Av Univ S-N, Cuernavaca 62210, Morelos, Mexico

[2] Pontificia Univ Javeriana, Dept Matemat, Cra 7 43-82 Edificio Carlos Ortiz 5to Piso, Bogota, Colombia

来源：

HOMOLOGY HOMOTOPY AND APPLICATIONS | 2018年 / 20卷 / 02期

关键词：

K- and L-theory; Farrell-Jones conjecture; Baum-Connes conjecture; classifying space; equivariant homology theory; INFINITE DIHEDRAL GROUP; CONJECTURE;

D O I：

10.4310/HHA.2018.v20.n2.a19

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：377 / 402

页数：26

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