  Based on probing electronic transport properties we propose an experimental
test for the recently discovered rich topological phase diagram of
one-dimensional Floquet topological insulators with Rashba spin-orbit
interaction [Kennes \emph{et al.}, Phys. Rev. B {\bf 100}, 041103(R) (2019)].
Using the Keldysh-Floquet formalism we compute electronic transport properties
of these nanowires, where we propose to couple the leads in such a way, as to
primarily address electronic states with a large weight at one edge of the
system. By tuning the Fermi energy of the leads to the center of the
topological gap we are able to directly address the topological edge states,
granting experimental access to the topological phase diagram. Surprisingly,
when tuning the lead Fermi energy to special values in the bulk which coincide
with extremal points of the dispersion relation, we find additional peaks of
similar magnitude to those caused by the topological edge states. These peaks
reveal the presence of continua of states centered around aforementioned
extremal points whose wavefunctions are linear combinations of delocalized bulk
states and exponentially localized edge states, where the ratio of edge- to
bulk-state amplitude is maximal at the extremal point of the dispersion. We
discuss the transport properties of these \emph{non-topological edge states},
explain their emergence in terms of an intuitive yet quantitative physical
picture and discuss their relationship with Van Hove singularities in the bulk
of the system. The mechanism giving rise to these states is not specific to the
model we consider here, suggesting that they may be present in a wide class of
one-dimensional systems.
