Non-connective K- and Nil-spectra of additive categorie

Abstract

We present an elementary construction of the non-connective algebraic K-theory spectrum associated to an additive category following the contracted functor approach due to Bass. It comes with a universal property that easily allows us to identify it with other constructions, for instance with the one of Pedersen-Weibel in terms of Z^i-graded objects and bounded homomorphisms.

31 pages, to appear in the Proceedings of the Fourth Arolla Conference on Algebraic Topology 2012, Contemporary Mathematics, American Mathematical Society, Providence, RI

References in corpus (4)

• The K-theoretic Farrell-Jones Conjecture for hyperbolic groups
• Non connective K-theory via universal invariants
• Inheritance of Isomorphism Conjectures under colimits
• K- and L-theory of group rings over GL_n(Z)

Cited by in corpus (1)

• A twisted Bass-Heller-Swan decomposition for the algebraic K-theory of additive categories