Delooping classifying spaces in algebraic K-theory
نویسندگان
چکیده
منابع مشابه
Relative 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 کاملAlgebraic K - Theory and Configuration Spaces
Its importance lies in the fact that the right hand side of the above equivalence (which wewill briefly refer to as a configuration space model) is a much smaller space than the function space on the left, and thus is much easier to deal with. The second author noted that in the configuration space model, one can replace the X" by spaces like BGln(R). For there is an obvious ~n action on BGln(R...
متن کاملThe Spaces That Define Algebraic K-theory
We characterize spaces W such that the W -nullification functor PW , applied to any BGL(R), gives BGL(R) . Let X be a pointed space and X the Quillen plus-construction on X with respect to the maximal perfect subgroup of π1X. If W is a pointed CW-complex, let PW (X) denote the W -nullification of X. (Recall that PWX is up to homotopy the initial space Y under X which is W -null in the sense tha...
متن کاملAlgebraic Cobordism of Classifying Spaces
We define algebraic cobordism of classifying spaces, Ω∗(BG) and G-equivariant algebraic cobordism Ω∗G(−) for a linear algebraic group G. We prove some properties of the coniveau filtration on algebraic cobordism, denoted F (Ω(−)), which are required for the definition to work. We show that G-equivariant cobordism satisfies the localization exact sequence. We calculate Ω(BG) for algebraic groups...
متن کاملAlgebraic K-theory of spaces stratified fibered over hyperbolic orbifolds.
Among other results, we rationally calculate the algebraic K-theory of any discrete cocompact subgroup of a Lie group G, where G is either O(n, 1), U(n, 1), Sp(n, 1), or F(4), in terms of the homology of the double coset space Gamma\G/K, where K is a maximal cocompact subgroup of G. We obtain the formula K(n)(ZGamma) [unk] [unk] congruent with [unk](i=0) (infinity)H(i)(Gamma\G/K; [unk](n-i)), w...
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: Topology
سال: 1972
ISSN: 0040-9383
DOI: 10.1016/0040-9383(72)90031-6