2010/05/13 by Gonçalo Tabuada, Goncalo Tabuada, Tabuada, Goncalo
Mathematics · #14F42 #19D35 #19D55 #Advanced Combinatorial Mathematics #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #Algebraic Topology (math.AT) #FOS: Mathematics #K-Theory and Homology (math.KT) #Mathematics and Applications #math.AG #math.AT #math.KT #msc:14F42 #msc:19D35 #msc:19D55
paper · pdf · doi:10.48550/arxiv.1005.2336
Exposition improved. 10 pages
openalex publication_date 2010/05/13 · arxiv created 2011/01/03 · arxiv updated 2011/01/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this article we further the study of non-commutative motives. We prove that bivariant cyclic cohomology (and its variants) becomes representable in the category of non-commutative motives. Furthermore, Connes' bilinear pairings correspond to the composition operation. As an application, we obtain a simple model, given in terms of infinite matrices, for the (de)suspension of these bivariant cohomology theories.