nLab real algebraic K-theory

Idea

Real algebraic K-theory is the the $\mathbb{Z}_2$-equivariant cohomology refinement of algebraic K-theory in analogy to how KR-theory (“real topological K-theory”) is the $\mathbb{Z}_2$-equivariant refinement of topological K-theory.

References

The main text is an unpublished book draft

• Lars Hesselholt, Ib Madsen, Real algebraic K-theory (manuscript)

Some details are in

• Dotto, Stable real K-theory and real topological Hochschild homology (arXiv:1212.4310)