  We consider high frequency observations from a fractional Brownian motion.
Inspired by the work of Jean Jacod in a diffusion setting, we investigate the
asymptotic behavior of various classical statistics related to the local times
of the process. We show that as in the diffusion case, these statistics indeed
converge to some local times up to a constant factor. As a corollary, we
provide limit theorems for the quadratic variation of the absolute value of a
fractional Brownian motion.
