  A central question in equivariant algebraic K-theory asks whether there
exists an equivariant K-theory machine from genuine symmetric monoidal
G-categories to orthogonal G-spectra that preserves equivariant algebraic
structures. We answer this question positively by constructing an enriched
multifunctor K from the G-categorically enriched multicategory of
O-pseudoalgebras to the symmetric monoidal category of orthogonal G-spectra,
for a compact Lie group G and a 1-connected pseudo-commutative G-categorical
operad O. As the main application of its enriched multifunctoriality, K
preserves all equivariant algebraic structures parametrized by multicategories
enriched in either G-spaces or G-categories. For example, for a finite group G
and the G-Barratt-Eccles operad, K transports equivariant E-infinity algebras,
in the sense of Guillou-May or Blumberg-Hill, of genuine symmetric monoidal
G-categories to equivariant E-infinity algebras of orthogonal G-spectra.
