J.P.C.Greenlees
``Equivariant connective K theory for compact Lie groups''
An equivariant version of connective K theory is constructed
for all compact Lie groups. It is shown to be ring valued,
Noetherian, non-equivariantly ku, v-periodically K and complex
orientable. This is sufficient justification for the name. The
coefficient ring is shown to be related to the representing
ring of multiplicative equivariant formal group laws as in
``Multiplicative equivariant formal group laws.'' and equal to
it for the product of two topologically cyclic groups, and to
the modified Rees ring. Explicit calculations in special cases
may be obtained from those of ``Connective K theory of finite
groups'' (with R.R. Bruner).