群环的K-和L-理论
K- and L-theory of group rings
摘要：
本文将探讨群环的K-和L-理论及其在代数、几何和拓扑学中的应用。Farrell-Jones猜想刻画了K-和L-理论群。它有许多含义，包括拓扑刚性的Borel和Novikov猜想。它的现状，以及它的许多后果进行了调查。
英文摘要：
This article will explore the K- and L-theory of group rings and their applications to algebra, geometry and topology. The Farrell-Jones Conjecture characterizes K- and L-theory groups. It has many implications, including the Borel and Novikov Conjectures for topological rigidity. Its current status, and many of its consequences are surveyed.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
