拓扑K理论谱的对数结构
Logarithmic structures on topological K-theory spectra
摘要：
我们研究了结构环谱上Rognes对数结构的一个修正版本。在我们的设置中，我们得到典型的对数结构的连接K-理论谱近似各自的周期谱。p-完全连接复形K-理论谱中包含的p-完全亚当斯和项与这些对数结构是相容的。适当的对数拓扑Andre-Quillen同调群的消失证实了Adams和项的包含应被视为环谱的弱分歧扩张。
英文摘要：
We study a modified version of Rognes' logarithmic structures on structured ring spectra. In our setup, we obtain canonical logarithmic structures on connective K-theory spectra which approximate the respective periodic spectra. The inclusion of the p-complete Adams summand into the p-complete connective complex K-theory spectrum is compatible with these logarithmic structures. The vanishing of appropriate logarithmic topological Andre-Quillen homology groups confirms that the inclusion of the Adams summand should be viewed as a tamely ramified extension of ring spectra.
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