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IDEALS IN OPERATOR SPACE PROJECTIVE TENSOR PRODUCT OF C*-ALGEBRAS
Published online by Cambridge University Press: 18 November 2011
Abstract
Let A and B be C*-algebras. We prove the slice map conjecture for ideals in the operator space projective tensor product . As an application, a characterization of the prime ideals in the Banach *-algebra
is obtained. In addition, we study the primitive ideals, modular ideals and the maximal modular ideals of
. We also show that the Banach *-algebra
possesses the Wiener property and that, for a subhomogeneous C*-algebra A, the Banach * -algebra
is symmetric.
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- Type
- Research Article
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- Copyright © Australian Mathematical Publishing Association Inc. 2011
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