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Outer Automorphisms of the Generic Dynamics Factor

✍ Scribed by Kazuyuki Saitô; J.D. Maitland Wright

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
214 KB
Volume
248
Category
Article
ISSN
0022-247X

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✦ Synopsis

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

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