The completely bounded approximation property for extended Cuntz-Pimsner algebras Academic Article uri icon

abstract

  • The extended Cuntz-Pimsner algebra E(H), introduced by Pimsner, is constructed from a Hilbert B, B-bimodule H over a C*-algebra B. In this paper we investigate the Haagerup invariant Λ(·) for these algebras, the main result being that Λ(E(H) = Λ(B) when H is full over B. In particular, E(H) has the completely bounded approximation property if and only if the same is true for B. © 2005 University of Houston.

author list (cited authors)

  • Dykema, K. J., & Smith, R. R.

complete list of authors

  • Dykema, KJ||Smith, RR

publication date

  • October 2005