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).