Some Endomorphisms of Ii1 Factors
نویسنده
چکیده
For any finite dimensional C∗-algebra A , we give an endomorphism Φ of the hyperfinite II1 factor R of finite Jones index such that: ∀ k ∈ N, Φk(R)′ ∩R = ⊗kA. The Jones index [R : Φ(R)] = (rank (A)), here rank (A) is the dimension of the maximal abelian subalgebra of A.
منابع مشابه
Some Endomorphisms of Ii1 Factors: Part Ii
For any finite dimensional C-algebra A with a trace vector ~s whose entries are rational numbers, we give an endomorphism Φ of the hyperfinite II1 factor R such that: ∀ k ∈ N, Φ(R) ∩R = ⊗A. The canonical trace τ on R extends the trace vector ~s on A. Therefore the minimal projection is not necessarily equivalent to each other.
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