4 papers
math.OA2026
On some Lie automorphisms of a class of Kadison-Singer algebras
Zhujun Yang, You Zhou, Liguang Wang
Let be an infinite dimensional separable Hilbert space and a nest of projections on with at least four projections. Let be a separatin…
math.OA2025
Local derivation on some class of subspace lattice algebras
Hongjie Chen, Liguang Wang, Zhujun Yang
Let be a separable Hilbert space and a complete reflexive lattice. Let be the direct sum of copies of $\ma…
math.OA2024
Operational 2-local automorphisms/derivations
Liguang Wang, Ngai-Ching Wong
Let be a (not necessarily linear, additive or continuous) map of a standard operator algebra. Suppose for any there is an algebra automorphism of $…
math.OA2024
The linking von Neumann algebras of W*-TROs
Liguang Wang, Hongjie Chen, Ngai-Ching Wong
In this note, we show that a von Neumann algebra can be written as the linking von Neumann algebra of a W*-TRO if and only if it contains no abelian direct summand. We also provide…