We introduce the central Haagerup tensor product \(\mathscr{A} \otimes{ }_{g h}\), for a von Neumann algebra \(\mathscr{A}\). and we show that the natural injection into the space \(C B(\mathscr{A}, \mathscr{A})\) of completely bounded maps on \(h\) is isometric. This is used to study mappings betwe
Completely bounded module maps and the Haagerup tensor product
โ Scribed by R.R Smith
- Book ID
- 107795072
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 914 KB
- Volume
- 102
- Category
- Article
- ISSN
- 0022-1236
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
It is proved that the (analogy of the) Haagerup norm on the tensor product of submodules of \(\mathscr{B}(\mathscr{H})\) over a von Neumann algebra \(\mathscr{T} \subseteq \mathscr{B}(\mathscr{C})\) is injective. If \(\mathscr{A} \subseteq \mathscr{S} \subseteq \mathscr{A}(\mathscr{H})\) are von Neu
Following the construction of tensor product spaces of quaternion Hilbert modules in our previous paper, we define the analogue of a ray (in a complex quantum mechanics) and the corresponding projection operator, and through these the notion of a state and density operators. We find that there is a
We give a new and shorter proof of the associativity of tensor product for modules for rational vertex operator algebras under certain convergence conditions.