2000/09/25 by Rachel Taillefer, Taillefer, Rachel
Mathematics · #16E40 #16W30 #16W35 #17B37 #19D55 #57T05 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Quantum Algebra (math.QA) #math.QA #msc:16E40 #msc:16W30 #msc:16W35 #msc:17B37 #msc:19D55 #msc:57T05
paper · pdf · doi:10.48550/arxiv.math/0009213
16 pages, 1 figure
openalex publication_date 2000/09/25 · arxiv created 2001/09/13 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A cyclic cohomology theory adapted to Hopf algebras has been introduced recently by Connes and Moscovici. In this paper, we consider this object in the homological framework, in the spirit of Loday-Quillen and Karoubi's work on the cyclic homology of associative algebras. In the case of group algebras, we interpret the decomposition of the classical cyclic homology of a group algebra in terms of this homology. We also compute both cyclic homologies for truncated quiver algebras.