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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Beanspruchung stabförmiger Bauteile over a field k, then Pic(A), SK.(A) and SK.(A) are naturally modules over the ring W(k) of Witt vectors over k. If A is any commutative ring, NPic(A), NSK.(A) and NSK.(A) are naturally modules over W(A). The K-theory transfer map, defined when B is an A-algebra which is a finite projective A-module, sends SK.(B) to SK.(A) and SK.(B) to SK.(A).

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Beanspruchung stabförmiger Bauteileety to intermediate Jacobians. These formulas generalize some previously obtained via iterated integrals on Riemann surfaces, and are obtained much more easily. Details are given concerning the representation of differential characters by differential forms with singularities.

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J. Lackmann,H. Mertens,R. Liebich 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.

Narrative

J. Lackmann,H. Mertens,R. Liebichgebra. 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 symmetric group is involved.

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Beanspruchung stabförmiger Bauteileegories on simplicial spaces. The group completion theorem, which relates the homology of a topological monoid to the homology of the loopspace of its classifying space, will be derived as a consequence.