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Inner Bogoliubov automorphisms of the minimal C* Weyl algebra
Published online by Cambridge University Press: 18 May 2009
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Within the context of orthogonal geometry, isometries of a real inner product space induce Bogoliubov automorphisms of its associated Clifford algebras. The question whether or not such automorphisms are inner is of considerable interest and importance. Inner Bogoliubov automorphisms were fully characterized for the C* Clifford algebra by Shale and Stinespring [14] and for the W* Clifford algebra by Blattner [2]: each case engenders a corresponding notion of spin group, constructed as a group of units inside the Clifford algebra [4].
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- Copyright © Glasgow Mathematical Journal Trust 1992