论文标题
K（1） - 局部球体的代数K理论通过TC
The algebraic K-theory of the K(1)-local sphere via TC
论文作者
论文摘要
我们描述了$ k（1）$ - 本地领域的代数K理论以及第2型有限光谱的类别，该频谱在离散环和拓扑环状同源性方面。我们在Prime 2的2型Spectra的$ K_0 $中找到了一个无限的2个扭转班级，并解释了如何构建这些$ K_0 $类的代表。
We describe the algebraic K-theory of the $K(1)$-local sphere and the category of type 2 finite spectra in terms of K-theory of discrete rings and topological cyclic homology. We find an infinite family of 2-torsion classes in the $K_0$ of type 2 spectra at the prime 2, and explain how to construct representatives of these $K_0$ classes.
