The goal of the paper is to prove the following theorem: if A,D are unital C*-algebras, A simple and nuclear, then any C*-subalgebra of the C*-tensor product of A and D, which contains the tensor product of A with the scalar multiples of the unit of D, splits in the C*-tensor product of A with some C*-subalgebra of D.
机构:East China Normal Univ, Dept Math, Res Ctr Operator Algebras, Shanghai Key Lab PMMP, Shanghai 200062, Peoples R China
Lin, Huaxin
Sun, Wei
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East China Normal Univ, Dept Math, Res Ctr Operator Algebras, Shanghai Key Lab PMMP, Shanghai 200062, Peoples R ChinaEast China Normal Univ, Dept Math, Res Ctr Operator Algebras, Shanghai Key Lab PMMP, Shanghai 200062, Peoples R China
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Univ Roma Tor Vergata, Dipartimento Matemat, Via Ric Sci 1, I-00133 Rome, ItalyUniv Roma Tor Vergata, Dipartimento Matemat, Via Ric Sci 1, I-00133 Rome, Italy
Fidaleo, Francesco
Vincenzi, Elia
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Univ Roma Tor Vergata, Dipartimento Matemat, Via Ric Sci 1, I-00133 Rome, ItalyUniv Roma Tor Vergata, Dipartimento Matemat, Via Ric Sci 1, I-00133 Rome, Italy