  We study the equilibrium and nonequilibrium electronic transport properties
of multiprobe topological systems using a combination of the
Landauer-B\"uttiker approach and nonequilibrium Green's functions techniques.
We obtain general expressions for both nonequilibrium and equilibrium local
electronic currents that, by suitable projections, allow one to compute charge,
spin, valley, and orbital currents. We show that external magnetic fields give
rise to equilibrium charge currents in mesoscopic system and study the latter
in the quantum Hall regime. Likewise, a spin-orbit interaction leads to local
equilibrium spin currents, that we analyze in the quantum spin Hall regime.
