A spectrum level rank filtration in algebraic K-theory
نویسندگان
چکیده
منابع مشابه
Bivariant algebraic K-theory
We show how methods from K-theory of operator algebras can be applied in a completely algebraic setting to define a bivariant, M∞-stable, homotopy-invariant, excisive Ktheory of algebras over a fixed unital ground ring H, (A, B) 7→ kk∗(A, B), which is universal in the sense that it maps uniquely to any other such theory. It turns out kk is related to C. Weibel’s homotopy algebraic K-theory, KH....
متن کاملAlgebraic K - Theory
We show how methods from K-theory of operator algebras can be applied in a completely algebraic setting to define a bivariant, M∞-stable, homotopy-invariant, excisive Ktheory of algebras over a fixed unital ground ring H, (A, B) 7→ kk∗(A, B), which is universal in the sense that it maps uniquely to any other such theory. It turns out kk is related to C. Weibel’s homotopy algebraic K-theory, KH....
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A crucial observation in Quillen’s definition of higher algebraic K-theory was that the right way to proceed is to define the higer K-groups as the homotopy groups of a space ([21]). Quillen gave two different space level models, one via the plus construction and the other via the Q-construction. The Q construction version allowed Quillen to prove a number of important formal properties of the ...
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During the first three days of September, 1997, I had the privilege of giving a series of five lectures at the beginning of the “School on Algebraic K-Theory and Applications” at the International Center for Theoretical Physics in Trieste. What follows are the written notes of my lectures, essentially in the form distributed to the audience. I am especially grateful to Professor Adremi Kuku for...
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The main goal of the present project is to give a sketch of the calculation of the algebraic K-theory of a finite field. Not all the details are developed, but several references are given where detailed proofs may be found. However, the main source of the project is D.J. Benson’s book on ”Representations and Cohomolgy: Cohomolgy of groups and modules” [4]. Section 1 is an introduction to princ...
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ژورنال
عنوان ژورنال: Topology
سال: 1992
ISSN: 0040-9383
DOI: 10.1016/0040-9383(92)90012-7