Independent resolutions for totally disconnected dynamical systems I: Algebraic case

JOURNAL OF ALGEBRA

卷:424

Article

Li, Xin¹  Norling, Magnus Dahler² 

[1] Queen Mary Univ London, Sch Math Sci, London E1 4NS, England

[2] Univ Oslo, Dept Math, N-0316 Oslo, Norway

关键词: Resolution;    Totally disconnected dynamical system;    Semilattice;    Group homology;    K-theory;   

DOI  :  10.1016/j.jalgebra.2014.10.043

来源: Elsevier

【 摘 要 】

This is the first out of two papers on independent resolutions for totally disconnected dynamical systems. In the present paper, we discuss independent resolutions from an algebraic point of view. We also present applications to group homology and cohomology. This first paper sets the stage for our second paper, where we explain how to use independent resolutions in K-theory computations for crossed products attached to totally disconnected dynamical systems. (C) 2014 Elsevier Inc. All rights reserved.

【 授权许可】

Free