Abstract

Let A be the generic dynamics factor. Since A is a quotient of the Borel*-envelope of the Fermion algebra it is hyperfinite. Let OutA=AutA/InnA be the outer automorphism group of A. Among other more general results it is shown that every countable group can be isomorphically embedded in OutA; there exist continuum many elements of OutA corresponding to aperiodic outer automorphisms; for each natural number p≥2 there exist continuum many elements of OutA corresponding to periodic automorphisms of order p.

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