The Collaborative International Dictionary of English v.0.48:

Notoriety \No`to*ri"e*ty\ (n[=o]`t[-o]*r[imac]"[-e]*t[y^]), n.
   [Cf. F. notori['e]t['e]. See Notorious.]
   The quality or condition of being notorious; the state of
   being generally or publicly known; -- commonly used in an
   unfavorable sense; as, the notoriety of a crime.
   [1913 Webster]

         They were not subjects in their own nature so exposed
         to public notoriety.                     --Addison.
   [1913 Webster]

WordNet (r) 3.0 (2006):

notoriety
    n 1: the state of being known for some unfavorable act or
         quality [syn: notoriety, ill fame]

The Devil's Dictionary (1881-1906):

NOTORIETY, n.  The fame of one's competitor for public honors.  The
kind of renown most accessible and acceptable to mediocrity.  A
Jacob's-ladder leading to the vaudeville stage, with angels ascending
and descending.