Decompositions of the category of noncommutative sets and Hochschild and cyclic homology

• Autorzy: Jolanta Słomińska
• Języki publikacji: EN

Abstrakty

EN

In this note we show that the main results of the paper [PR] can be obtained as consequences of more general results concerning categories whose morphisms can be uniquely presented as compositions of morphisms of their two subcategories with the same objects. First we will prove these general results and then we will apply it to the case of finite noncommutative sets.

Słowa kluczowe

EN

cyclic homology; Hochschild homology; tensor product of functors; noncommutative sets; projective resolution; 16E40; 18A25; 18G30; 19D55

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2003
• Tom: 1
• Numer: 3
• Strony: 327-331

Daty

wydano

2003-09-01

online

2003-09-01

Twórcy

autor

Jolanta Słomińska

• Technical University of Warsaw

Bibliografia

• [1] A. Connes: “Cohomologie cyclique et foncteurs Ext”, C. R. Acad. Sci. Paris, Vol. 296, (1983), pp. 953–958.
• [2] Z. Fiedorowicz and J.L. Loday: “Crossed simplicial groups and their associated homology”, Trans. Amer. Math. Soc., Vol. 326, (1991), pp. 57–87. http://dx.doi.org/10.2307/2001855
• [3] J. L. Loday: Cyclic Homology, Springer-Verlag, Berlin, 1992.
• [4] T. Pirashvili and B. Richter: “Hochschild and cyclic homology via functor homology”, K-Theory, Vol. 25, (2002), pp. 39–49. http://dx.doi.org/10.1023/A:1015064621329
• [5] M. Zimmermann: “Changement de base pour les foncteurs Tor”, preprint ArXiv, AT/0303177.

Identyfikatory

DOI

10.2478/BF02475213