Completely bounded module maps and the Haagerup tensor product Academic Article uri icon

abstract

  • We obtain a representation theorem for module maps defined on the algebra K(H) of compact operators. This is used to show that the Haagerup tensor product of two operator algebras enjoys strong versions of Tomita's commutant theorem and the slice map property. We also give a general theorem concerning the automatic complete boundedness of module maps. © 1991.

author list (cited authors)

  • Smith, R. R.

citation count

  • 51

complete list of authors

  • Smith, RR

publication date

  • November 1991