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Splitting for Subalgebras of Tensor Products
Proceedings of the American Mathematical Society
Vol. 129, No. 2 (Feb., 2001), pp. 407-413
Published by: American Mathematical Society
Stable URL: http://www.jstor.org/stable/2668699
Page Count: 7
You can always find the topics here!Topics: Induced substructures, Tensors, Algebra, Mathematical theorems, Von Neumann algebra, Approximation, Quotients
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We prove splitting results for subalgebras of tensor products of operator algebras. In particular, any C*-algebra C s.t. $A \otimes 1 \subseteq C \subseteq A \otimes B$ is a tensor product A ⊗ B0 provided A is simple and nuclear.
Proceedings of the American Mathematical Society © 2001 American Mathematical Society