On the outer automorphism groups of triangular alternation limit algebras

Details On the outer automorphism groups of triangular alternation limit algebras On the outer automorphism groups of triangular alternation limit algebras

1993-02-09

arxiv.org/abs/funct-an/9302003v1

Mathematics

Operator Algebras

12 pages, Latex

Scientific paper

Let $A$ denote the alternation limit algebra, studied by Hopenwasser and Power, and by Poon, which is the closed direct limit of upper triangular matrix algebras determined by refinement embeddings of multiplicity $r_k$ and standard embeddings of multiplicity $s_k$. It is shown that the quotient of the isometric automorphism group by the approximately inner automorphisms is the abelian group $ \ZZ ^d$ where $d$ is the number of primes that are divisors of infinitely many terms of each of the sequences $(r_k)$ and $(s_k)$. This group is also the group of automorphisms of the fundamental relation of $A$.

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