THE CENTRAL HAAGERUP TENSOR PRODUCT AND MAPS BETWEEN VONNEUMANN-ALGEBRAS

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.

authors

• Smith, Roger

published proceedings

• JOURNAL OF FUNCTIONAL ANALYSIS

author list (cited authors)

• CHATTERJEE, A., & SMITH, R. R.

citation count

• 15

complete list of authors

• CHATTERJEE, A||SMITH, RR

publication date

• February 1993

publisher

• Elsevier  Publisher

published in

• Journal of Functional Analysis  Journal

Digital Object Identifier (DOI)

• 10.1006/jfan.1993.1027

start page

• 97

end page

• 120

volume

• 112

issue

• 1

URL

• http%3A%2F%2Fdx.doi.org%2F10.1006%2Fjfan.1993.1027