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Hopf-type Cyclic Cohomology via Karoubi Operator

2001/12/28 by G. Sharygin, Sharygin, G.
Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Quantum Algebra (math.QA) #math.QA

paper · pdf · doi:10.48550/arxiv.math/0112300

Few minor terminological mistakes corrected, including the one in the title

openalex publication_date 2001/12/28 · arxiv created 2002/02/08 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we propose still another approach to the Hopf-type cyclic homology of Hopf algebras, introduced by A. Connes and H. Moscovici. Our construction is based on the notion of "universal differential calculus" on an algebra. Few remarks, concerning the possible generalizations and applications of this approach are made. (This is only a preliminary version of the paper. Only outlines of some ideas are given.)

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