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Some endomorphisms of II_1 factors

Hsiang-Ping Huang
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Abstract

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

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Hsiang-Ping Huang. 2005-09-20. Some endomorphisms of II_1 factors. https://arxiv.org/abs/math/0509460

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