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Journal of Noncommutative Geometry

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Volume 5, Issue 4, 2011, pp. 573–589
DOI: 10.4171/JNCG/87

Published online: 2011-09-27

Universal suspension via noncommutative motives

Gonçalo Tabuada[1]

(1) Universidade Nova de Lisboa, Portugal

In this article we further the study of noncommutative motives, initiated in [5], [6], [28]. Our main result is the construction of a simple model, given in terms of infinite matrices, for the suspension in the triangulated category of noncommutative 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, etc.

Keywords: Noncommutative motives, infinite matrix algebras, algebraic K-theory, cyclic homology, topological Hochschild homology

Tabuada Gonçalo: Universal suspension via noncommutative motives. J. Noncommut. Geom. 5 (2011), 573-589. doi: 10.4171/JNCG/87