Some endomorphisms of II_1 factors: part II

Details Some endomorphisms of II_1 factors: part II Some endomorphisms of II_1 factors: part II

2005-09-20

arxiv.org/abs/math/0509461v1

Mathematics

Operator Algebras

Scientific paper

For any finite dimensional C^*-algebra A with a trace vector \vec s whose entries are rational numbers, we give an endomorphism \Phi of the hyperfinite II_1 factor R such that: for all k \in \mathbb {N}, \Phi^k (R)' \cap R= \otimes^k A. The canonical trace \tau on R extends the trace vector \vec s on A. Therefore the minimal projection is not necessarily equivalent to each other.

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