group cohomology, nonabelian group cohomology, Lie group cohomology
cohomology with constant coefficients / with a local system of coefficients
differential cohomology
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 and it is hence a multiplicative cohomology theory.
Peter May, Ring Spaces and Ring spectra, Springer lectures notes in mathematics, Vol. 533, (1977) (pdf) chaper VI
Anthony Elmendorf, Michael Mandell, Rings, modules and algebras in infinite loop space theory, K-Theory 0680 (web, pdf)
Anthony Elmendorf, Michael Mandell, Permutative categories, multicategories, and algebraic K-theory (arXiv:0710.0082)
Last revised on April 28, 2014 at 06:44:00. See the history of this page for a list of all contributions to it.