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Splitting for Subalgebras of Tensor Products

Joachim Zacharias
Proceedings of the American Mathematical Society
Vol. 129, No. 2 (Feb., 2001), pp. 407-413
Stable URL: http://www.jstor.org/stable/2668699
Page Count: 7
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Splitting for Subalgebras of Tensor Products
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Abstract

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.

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