  In this note, we prove that intrinsic characteristic classes of Lie
algebroids - which in degree one recover the modular class - behave
functorially with respect to arbitrary transverse maps, and in particular are
weak Morita invariants. In the modular case, this result appeared in
[Kosmann-Schwarzbach Y., Laurent-Gengoux C., Weinstein A., Transform. Groups 13
(2008), 727-755], and with a connectivity assumption which we here show to be
unnecessary, it appeared in [Crainic M., Comment. Math. Helv. 78 (2003),
681-721] and [Ginzburg V.L., J. Symplectic Geom. 1 (2001), 121-169].
