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In the framework of algebraic quantum field theory we analyze the anomalousstatistics exhibited by a class of automorphisms of the observable algebra ofthe two-dimensional free massive Dirac field, constructed by fermionic gaugegroup methods. The violation of Haag duality, the topological peculiarity of atwo-dimensional space-time and the fact that unitary implementers do not lie inthe global field algebra account for strange behaviour of statistics, which isno longer an intrinsic property of sectors. Since automorphisms are not inner,we exploit asymptotic abelianness of intertwiners in order to construct abraiding for a suitable $C^*$-tensor subcategory of End($\mathscr{A}$). Wedefine two inequivalent classes of path connected bi-asymptopias, selectingonly those sets of nets which yield a true generalized statistics operator.Comment: 24 page

Generalized Particle Statistics in Two-Dimensions: Examples from the Theory of Free Massive Dirac Field