The real subject of this talk is joint work with Magdalena Kedziorek in which we identify an algebraic model for
equivariantly commutative ring T-spectra (for the circle group T, and leaving `rational’ as understood).
However to explain this it is helpful to begin with the algebraic model of ordinary T-spectra and for
naive-commutative ring T-spectra. In this case the space of closed subgroups of T is very simple, so we
can give an explicit description of the models and how to work with them. In particular, the strong message
is that once again the `standard' model captures the principal features much more clearly than the `complete’ model.
(This is supposed to be an antidote to my recent talk `Rational SU(3)-spectra in 18 blocks’)
