  The phenomenon of the finite-temperature induced quantum numbers in fermionic
systems with topological defects is analyzed. We consider an ideal gas of
twodimensional relativistic massive electrons in the background of a defect in
the form of a pointlike magnetic vortex with arbitrary flux. This system is
found to acquire, in addition to fermion number, also orbital angular momentum,
spin, and induced magnetic flux, and we determine the functional dependence of
the appropriate thermal averages and correlations on the temperature, the
vortex flux, and the continuous parameter of the boundary condition at the
location of the defect. We find that nonnegativeness of thermal quadratic
fluctuations imposes a restriction on the admissible range of values of the
boundary parameter. The long-standing problem of the adequate definition of
total angular momentum for the system considered is resolved.
