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 April 28, 2014 06:44:00 by Urs Schreiber (88.128.80.161)