Doubly relative K-theory and the relative K3
نویسندگان
چکیده
منابع مشابه
On the Taylor Tower of Relative K-theory
Tom Goodwillie conjectured that one could define a Hochschild homology theory for rings where the tensors are replaced by ‘tensors’ over the sphere spectrum, and get an invariant which would agree with the stable K-theory of the ring. This theory, now known as topological Hochschild homology and denoted by THH, was defined by Marcel Bökstedt [B], and in [D], Bjørn Dundas proved that it agrees, ...
متن کاملOn Twisted Forms and Relative Algebraic K-theory
This paper introduces a new approach to the study of certain aspects of Galois module theory by combining ideas arising from the study of the Galois structure of torsors of finite group schemes with techniques coming from relative algebraic K-theory.
متن کاملRelative Homological Algebra, Waldhausen K-theory, and Quasi-frobenius Conditions
We study the question of the existence of a Waldhausen category on any (relative) abelian category in which the contractible objects are the (relatively) projective objects. The associated K-theory groups are “stable algebraic G-theory,” which in degree zero form a certain stable representation group. We prove both some existence and nonexistence results about such Waldhausen category structure...
متن کاملRelative Hyperbolicity, Classifying Spaces, and Lower Algebraic K-theory
For Γ a relatively hyperbolic group, we construct a model for the universal space among Γ-spaces with isotropy on the family VC of virtually cyclic subgroups of Γ. We provide a recipe for identifying the maximal infinite virtually cyclic subgroups of Coxeter groups which are lattices in O+(n, 1) = Isom(Hn). We use the information we obtain to explicitly compute the lower algebraic K-theory of t...
متن کاملRelative K-groups and class field theory for arithmetic surfaces
Here CH0(X) denotes the Chow group of zero-cycles on X modulo rational equivalence and π̃ 1 (X) ab is the modified abelianized étale fundamental group, which classifies finite abelian étale coverings of X in which every real point splits completely (if X is defined over a totally imaginary number field, then this is just the usual abelianized étale fundamental group). By Lang [La], the homomorph...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Pure and Applied Algebra
سال: 1981
ISSN: 0022-4049
DOI: 10.1016/0022-4049(81)90047-5