been the belief that a strongly correlated electron system in two dimensions can be described by an effective field theory of anyons [@5], [@5a]. Besides, it has been claimed that anyons could play a basic role in high-T$_{C}$ superconductivity [@5a]-[@6b]. It is known [@a] that a charged anyon system in two spatial dimensions can be modeled by means of a 2+1 dimensional Maxwell-Chern-Simons (MCS) theory. An important feature of this theory is that it violates parity and time-reversal invariance. However, at present no experimental evidences of P and T violation in high-T$_{C}$ superconductivity have been found. It should be pointed out, nevertheless, that it is possible to construct more sophisticated P and T invariant anyonic models[@6a]. In any case, whether linked to high-T$_{C}$ superconductivity or not, the anyon system is an interesting theoretical model in its own right.

The superconducting behavior of anyon systems at $T=0$ has been investigated by many authors [@6]-[@15a]. Crucial to the existence of anyon superconductivity at $T=0$ is the exact cancellation between the bare and induced Chern-Simons terms in the effective action of the theory.

Although a general consensus exists regarding the superconductivity of anyon systems at zero temperature, a similar consensus at finite temperature 