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  • IDEALS IN OPERATOR SPACE PROJECTIVE TENSOR PRODUCT OF C*-ALGEBRAS

  • Part of
  • RANJANA JAIN, AJAY KUMAR
  • Journal:
    Journal of the Australian Mathematical Society / Volume 91 / Issue 2 / October 2011
    Published online by Cambridge University Press:
    18 November 2011, pp. 275-288
    Print publication:
    October 2011
    • Article
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  • 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.