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

Luis Jorge S'anchez Saldana, Mario Vel'asquez
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引用次数: 5

Abstract

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 $\mathbb{Q}$, 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.
Hilbert模群的代数和拓扑k理论
本文分别通过计算Farrell-Jones猜想和Baum-Connes猜想中的集合映射的源,给出了Hilbert模群及其简化版环上带系数的Whitehead群的描述,以及$C^*$-代数在$\mathbb{Q}$张紧后的拓扑k理论。构造了虚循环子群族的Hilbert模群的分类空间模型。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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