The Central Haagerup Tensor Product and Maps between von Neumann Algebras Academic Article uri icon

abstract

  • We introduce the central Haagerup tensor product R ⊗ Fh R for a von Neumann algebra R, and we show that the natural injection into tbe space CB(R, R) of completely bounded maps on R is isometric. This is used to study mappings between von Neumann algebras and to give a new characterization of injectivity. This tensor product is also studied for C*-algebras A, and we show that the injection into CB(A, A) need not always be isometric, depending on the topology of the primitive ideal space of A. © 1993 Academic Press Limited.

author list (cited authors)

  • Chatterjee, A., & Smith, R. R.

citation count

  • 12

complete list of authors

  • Chatterjee, A||Smith, RR

publication date

  • February 1993