Cyclic homology, comodules, and mixed complexes
نویسندگان
چکیده
منابع مشابه
CYCLIC COMODULES, THE HOMOLOGY OF j, AND j-HOMOLOGY
This short paper arose as a warm-up to the more difficult computations at the primes 2 and 3 of connective versions of Behrens’ Q(2) spectrum, a spectrum conjecturally describing half of the K(2)-local sphere [2]. The natural starting case is to understand the K(1)-local story, giving rise to the present discussion of the homology of the connective image of J spectrum. The homology results are ...
متن کاملFiltrations, Mixed Complexes, and Cyclic Homology in Mixed Characteristic
In [5], we computed the cyclic homology of finite extensions of Dedekind domains. The crucial result was a formula for the cyclic homology, relative to a ground ring R, of A = R[x]/(P (x)). This paper presents two extensions of the methods and results of this paper. Recall that Hochschild homology, though generally defined in terms of a bar complex, is almost never, in practice, computed from i...
متن کاملInjective Comodules and Landweber Exact Homology Theories
We classify the indecomposable injective E(n)∗E(n)-comodules, where E(n) is the Johnson-Wilson homology theory. They are suspensions of the Jn,r = E(n)∗(MrE(r)) where 0 ≤ r ≤ n, with the endomorphism ring of Jn,r being Ê(r) ∗ Ê(r), where Ê(r) denotes the completion of E(r).
متن کاملGeneralized Local Homology Modules of Complexes
The theory of local homology modules was initiated by Matlis in 1974. It is a dual version of the theory of local cohomology modules. Mohammadi and Divaani-Aazar (2012) studied the connection between local homology and Gorenstein flat modules by using Gorenstein flat resolutions. In this paper, we introduce generalized local homology modules for complexes and we give several ways for computing ...
متن کاملCyclic homology and equivariant homology
The purpose of this paper is to explore the relationship between the cyclic homology and cohomology theories of Connes [9-11], see also Loday and Quillen [20], and "IF equivariant homology and cohomology theories. Here II" is the circle group. The most general results involve the definitions of the cyclic homology of cyclic chain complexes and the notions of cyclic and cocyclic spaces so precis...
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 Algebra
سال: 1987
ISSN: 0021-8693
DOI: 10.1016/0021-8693(87)90086-x