On the Nuclearity of Certain Cuntz-Pimsner Algebras Articles uri icon

publication date

  • May 2010

start page

  • 752

end page

  • 757

issue

  • 5

volume

  • 283

international standard serial number (ISSN)

  • 0025-584X

electronic international standard serial number (EISSN)

  • 1522-2616

abstract

  • We give a short proof of the nuclearity property of a class of Cuntz-Pimsner algebras associated with a Hilbert A-bimodule M, where A is a separable and nuclear C*-algebra. We assume that the left A-action on the bimodule M is given
    in terms of compact module operators and that M is direct summand of the
    standard Hilbert module over A.