Some endomorphisms of II_1 factors

Details Some endomorphisms of II_1 factors Some endomorphisms of II_1 factors

2005-09-20

arxiv.org/abs/math/0509460v1

Mathematics

Operator Algebras

Scientific paper

For any finite dimensional C^*-algebra A, we give an endomorphism \Phi of the
hyperfinite II_1 factor R of finite Jones index such that: for all k \in
\mathbb {N}, \Phi^k (R)' \cap R= \otimes^k A. The Jones index [R: \Phi (R)]=
(rank (A))^2, here rank (A) is the dimension of the maximal abelian subalgebra
of A.

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