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
收藏
页码：377 / 402
页数：26
相关论文
共 50 条
12345