  Despite the common picture of an early-type dwarf (dE) as a quiescent galaxy
with no star formation and little gas, we identify 23 dEs that have blue
central colors caused by recent or ongoing star formation in our sample of 476
Virgo cluster dEs. In addition, 14 objects that were mostly classified as
(candidate) BCDs have similar properties. Among the certain cluster members,
the dEs with blue centers reach a fraction of more than 15% of the dE
population at brighter (B<=16) magnitudes. A spectral analysis of the centers
of 16 galaxies reveals in all cases an underlying old population that dominates
the mass, with M(old)>=90% for all but one object. Therefore the majority of
these galaxies will appear like ordinary dEs within ~one Gigayear or less after
the last episode of star formation. Their overall gas content is less than that
of dwarf irregular galaxies, but higher than that of ordinary dEs. Their
flattening distribution suggests the shape of a thick disk, similar to what has
been found for dEs with disk features in Paper I of this series. Their
projected spatial distribution shows no central clustering, and their
distribution with projected local density follows that of irregular galaxies,
indicative of an unrelaxed population. This is corroborated by their velocity
distribution, which displays two side peaks characteristic of recent infall. We
discuss possible formation mechanisms (ram-pressure stripping, tidally induced
star formation, harassment) that might be able to explain both the disk shape
and the central star formation of the dEs with blue centers.
