منابع مشابه
Bott Periodicity in Topological, Algebraic and Hermitian K-theory
This paper is devoted to classical Bott periodicity, its history and more recent extensions in algebraic and Hermitian K-theory. However, it does not aim at completeness. For instance, the variants of Bott periodicity related to bivariant K-theory are described by Cuntz in this handbook. As another example, we don’t emphasize here the relation between motivic homotopy theory and Bott periodicit...
متن کاملBivariant 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....
متن کاملDeloopings in Algebraic K-theory
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 ...
متن کاملHomotopy Decompositions and K–theory of Bott Towers
We describe Bott towers as sequences of toric manifolds M, and identify the omniorientations which correspond to their original construction as toric varieties. We show that the suspension of M is homotopy equivalent to a wedge of Thom complexes, and display its complex K-theory as an algebra over the coefficient ring. We extend the results to KO-theory for several families of examples, and com...
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ژورنال
عنوان ژورنال: Topology
سال: 1997
ISSN: 0040-9383
DOI: 10.1016/s0040-9383(96)00037-7