Let
be a field
with a real embedding. We compare the motivic slice filtration of a motivic spectrum over
with the
–equivariant
slice filtration of its equivariant Betti realization, giving conditions under which realization
induces an equivalence between the associated slice towers. In particular, we show that,
up to reindexing, the towers agree for all spectra obtained from localized quotients
of and ,
and for motivic Landweber exact spectra and their realizations. As a consequence,
we deduce that equivariant spectra obtained from localized quotients of
are even in
the sense of Hill and Meier, and give a computation of the slice spectral sequence converging
to
for
.
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