2010/03/23 by Goncalo Tabuada, Tabuada, Goncalo
Mathematics · #18D20 #19D35 #19D55 #Algebraic Geometry (math.AG) #Algebraic Topology (math.AT) #FOS: Mathematics #K-Theory and Homology (math.KT) #math.AG #math.AT #math.KT #msc:18D20 #msc:19D35 #msc:19D55
paper · pdf · doi:10.48550/arxiv.1003.4425
14 pages
arxiv created 2010/03/23 · arxiv updated 2010/03/24
In this article we further the study of non-commutative motives. Our main result is the construction of a simple model, given in terms of infinite matrices, for the suspension in the triangulated category of non-commutative motives. As a consequence, this simple model holds in all the classical invariants such as Hochschild homology, cyclic homology and its variants (periodic, negative, ...), algebraic K-theory, topological Hochschild homology, topological cyclic homology, ...