# Cosimplicial versus DG-rings: a version of the Dold–Kan correspondence

@article{Castiglioni2003CosimplicialVD, title={Cosimplicial versus DG-rings: a version of the Dold–Kan correspondence}, author={Jos{\'e} L. Castiglioni and Guillermo Corti{\~n}as}, journal={Journal of Pure and Applied Algebra}, year={2003}, volume={191}, pages={119-142} }

## 14 Citations

### Stacks and their function algebras.

- Mathematics
- 2011

For T any abelian Lawvere theory, we establish a Quillen adjunction between model category structures on cosimplicial T -algebras and on simplicial presheaves over duals of T -algebras, whose left…

### ∞-Stacks and their Function Algebras with applications to ∞-Lie theory

- Mathematics
- 2010

For T any abelian Lawvere theory, we establish a Quillen adjunction between model category structures on cosimplicial T -algebras and on simplicial presheaves over duals of T -algebras, whose left…

### ec 2 00 4 Cyclic structures for simplicial objects from comonads preliminary notes

- Mathematics
- 2004

The simplicial endofunctor induced by a comonad in some category may underly a cyclic object in its category of endofunctors. The cyclic symmetry is then given by a sequence of natural…

### Homotopical Adjoint Lifting Theorem

- MathematicsAppl. Categorical Struct.
- 2019

A homotopical version of the adjoint lifting theorem in category theory, allowing for Quillen equivalences to be lifted from monoidal model categories to categories of algebras over colored operads.

### The motivic anabelian geometry of local heights on abelian varieties

- Mathematics
- 2017

We study the problem of describing local components of height functions on abelian varieties over characteristic $0$ local fields as functions on spaces of torsors under various realisations of a…

### Monoidal Functors, Species, and Hopf Algebras

- Mathematics
- 2010

This research monograph integrates ideas from category theory, algebra and combinatorics. It is organised in three parts. Part I belongs to the realm of category theory. It reviews some of the…

### Cyclic structures for simplicial objects from comonads

- Mathematics
- 2004

The simplicial endofunctor induced by a comonad in some category may underly a cyclic object in its category of endofunctors. The cyclic symmetry is then given by a sequence of natural…

### Homotopy theory of homotopy presheaves

- Mathematics
- 2018

We develop a homotopy theory of (small) homotopy functors from a combinatorial model category to simplicial sets and give a version of the classical theorem by Dwyer and Kan on comparison of model…

## References

SHOWING 1-10 OF 26 REFERENCES

### Equivalences of monoidal model categories

- Mathematics
- 2002

We construct Quillen equivalences between the model categories of monoids (rings), modules and algebras over two Quillen equivalent model categories under certain conditions. This is a continuation…

### Cyclic homology and nonsingularity

- Mathematics
- 1995

From the pioneering work of Connes [Col] one knows that periodic cyclic homology can be regarded as a natural extension of de Rham cohomology to the realm of noncommutative geometry. Our aim in this…

### Algebra extensions and nonsingularity

- Mathematics
- 1995

This paper is concerned with a notion of nonsingularity for noncommutative algebras, which arises naturally in connection with cyclic homology. Let us consider associative unital algebras over the…

### Noncommutative descent and non-Abelian cohomology

- Economics
- 1995

HAL is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching and…

### On twisted tensor products of algebras

- Mathematics
- 1995

(1995). On twisted tensor products of algebras. Communications in Algebra: Vol. 23, No. 12, pp. 4701-4735.

### Correspondance de Dold–Kan et formes differentielles

- Mathematics
- 1997

Ici, les , i G 0, sont les operateurs face classiques et la differentielle i C a C est induite par le premier operateur face . On trouvera dans n ny1 0 w x 7 une demonstration de ce theoreme…

### Noncommutative Hochschild homology (in Spanish)

- Unpublished preprint
- 1994