Relative algebraic K-theory and topological cyclic homology
نویسندگان
چکیده
منابع مشابه
Filtered Topological Cyclic Homology and relative K -theory of nilpotent ideals
In this paper certain filtrations of topological Hochschild homology and topological cyclic homology are examined. As an example we show how the filtration with respect to a nilpotent ideal gives rise to an analog of a theorem of Goodwillie saying that rationally relative K -theory and relative cyclic homology agree. Our variation says that the p-torsion parts agree in a range of degrees. We us...
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One of the central problems of algebraic K-theory is to compute the K-groups KX of a scheme X. Since these groups are, by definition, the homotopy groups of a spectrum KX, it makes sense to analyze the homotopy-type of the spectrum, rather than just the disembodied homotopy groups. In addition to facilitating the computation of the K-groups themselves, knowledge of the spectrum KX can be applie...
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ژورنال
عنوان ژورنال: Acta Mathematica
سال: 1997
ISSN: 0001-5962
DOI: 10.1007/bf02392743