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Titlebook: Algebraic K-Theory: Connections with Geometry and Topology; J. F. Jardine,V. P. Snaith Book 1989 Springer Science+Business Media Dordrecht

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,On the K-Theory of ℤG, G A Group of Square-Free Order, multiple pullback of hereditary rings over semi-simple rings. Applications of this sequence include computations of NK.(ℤG) for * = 1, 2 and of an upper bound for K.(D.), D. the dihedral group of order 30.
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Cyclic Homology and Lambda Operations,gebra. By the Loday-Quillen theorem the primitive part of this homology is cyclic homology, which, therefore, inherits lambda operations. The aim of this paper is to give an explicit formula for these lambda operations on cyclic homology. It turns out that the classical Euler partition of the symmet
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The Completely Decomposed Topology on Schemes and Associated Descent Spectral Sequences in Algebraid the formalism of the corresponding cohomology and homotopy theories is developed. This formalism is applied to construct certain descent (or local-to-global) spectral sequences convergent to various algebraic K-groups of X, or to the homotopy groups of more general spectra. They refine the well-kn
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Kahler Diferentials and HC1 of Certain Graded K-Algebras,. It is shown that if the graded algebra A is one dimensional then the cyclic homology is isomorphic to the kernel of the homomorphism from Kahler differentials of A, to the Kahler differentials of the integral closure of A. This is seen to be false if A is the co-ordinate ring of a union of planes.
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A Global Duality Theorem for Varieties Over Global Fields,have proved independently a duality theorem which is expressed in a certain long exact sequence of locally compact abelian groups. The theorem is considered as a rephrasing of some fundamental results in the classical arithmetic theory such as the class field theory and the theory of the Brauer grou
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Ergänzungen zur Höheren Mathematikitly in some cases, such as the co-ordinate axes, co-ordinate planes, or certain cusps. Partial results are obtained for general lines or planes through the origin..The appendix by C. Weibel discusses the relationship between my results and Algebraic K-theory.
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