nLab
K-theory of a bipermutative category

Context

Cohomology

cohomology

Special and general types

Special notions

Variants

Extra structure

Operations

Theorems

Contents

Idea

While a permutative category already induces a symmetric spectrum, representing the corresponding K-theory of a permutative category, for a bipermutative category this naturally carries the additional structure of an E-infinity ring spectrum. The generalized (Eilenberg-Steenrod) cohomology represented by this spectrum is called the (algebraic) K-theory of CC and it is hence a multiplicative cohomology theory.

References

Revised on July 12, 2012 22:25:18 by Urs Schreiber (89.204.137.201)