منابع مشابه
Relative Cohomology of Banach Algebras
Let A be a Banach algebra, not necessarily unital, and let B be a closed subalgebra of A. We establish a connection between the Banach cyclic cohomology group HC(A) of A and the Banach B-relative cyclic cohomology group HCnB(A) of A. We prove that, for a Banach algebra A with a bounded approximate identity and an amenable closed subalgebra B of A, up to topological isomorphism, HC(A) = HCnB(A) ...
متن کاملRelative Hyperbolicity and Bounded Cohomology
Let Γ be a finitely generated group and Γ′ = {Γi | i ∈ I} be a family of its subgroups. We utilize the notion of tuple (Γ,Γ′, X,V ′) that makes the statements and arguments for the pair (Γ,Γ′) parallel to the non-relative case, and define the snake metric dς on the set of edges of a simplicial complex. The language of tuples and snake metrics seems to be convenient for dealing with relative hyp...
متن کاملRelative cohomology of polynomial mappings
Let F be a polynomial mapping from C to C with n > q. We study the De Rham cohomology of its fibres and its relative cohomology groups, by introducing a special fibre F−1(∞) ”at infinity” and its cohomology. Let us fix a weighted homogeneous degree on C[x1, ..., xn] with strictly positive weights. The fibre at infinity is the zero set of the leading terms of the coordinate functions of F . We i...
متن کاملDifferential Forms and Cohomology
Definition 1. An m-linear function f which maps the m-fold cartesian product V m of a vector space V into some other vector space W is called alternating if f(v1, . . . , vm) = 0 whenever v1, . . . , vm ∈ V and vi = vj for i 6= j. We let ∧ (V ,W ) be the vector space of mlinear alternating functions mapping V m intoW . We then define ∧m V by the property that if f ∈ ∧m(V,W ) then there exists a...
متن کاملOn the Cohomology of Relative Hopf Modules
Let H be a Hopf algebra over a field k, and A an Hcomodule algebra. The categories of comodules and relative Hopf modules are then Grothendieck categories with enough injectives. We study the derived functors of the associated Hom functors, and of the coinvariants functor, and discuss spectral sequences that connect them. We also discuss when the coinvariants functor preserves injectives.
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 Homotopy and Related Structures
سال: 2014
ISSN: 2193-8407,1512-2891
DOI: 10.1007/s40062-014-0088-1