Marked Linking Stability

Statement

Let marked von Neumann algebras have faithful normal unital mark-preserving embeddings and a common faithful normal increasing concrete realization in , with fixed projection and . Set . Then each of , , and is the ultraweak closure of the union of its finite-stage corners.

Meaning and scope

The common concrete realization and preserved mark are essential hypotheses. The proof uses standard von Neumann algebra density arguments.

Source

Paper 3, Theorem 7.1. Frozen manuscript — research note, not peer reviewed.