Universal suspension via Non-commutative motives

Details Universal suspension via Non-commutative motives Universal suspension via Non-commutative motives

2010-03-23

arxiv.org/abs/1003.4425v1

Mathematics

K-Theory and Homology

14 pages

Scientific paper

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, ...

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