Some weakly inner automorphisms of the Cuntz algebras
Author:
Sze-Kai Tsui
Journal:
Proc. Amer. Math. Soc. 123 (1995), 1719-1725
MSC:
Primary 46L40; Secondary 46L05
DOI:
https://doi.org/10.1090/S0002-9939-1995-1239808-X
MathSciNet review:
1239808
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Abstract | References | Similar Articles | Additional Information
Abstract: Let V be an unitary matrix. Then V induces an automorphism
of
and
. It is shown in this paper that
is weakly inner. Let
be the UHF
-subalgebra of
and U be a unitary operator in the diagonal maximal abelian
-subalgebra of
. Then the automorphism
of On defined by
, for each generator
of
, is weakly inner. Any automorphism conjugate to either one mentioned above is also weakly inner.
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9939-1995-1239808-X
Keywords:
Cuntz algebras,
weakly inner automorphisms,
FOCK representation,
separable simple algebras,
universally weakly inner automorphisms,
outer automorphisms,
permutations
Article copyright:
© Copyright 1995
American Mathematical Society