2 problems

0 votes0 replies0 views
The AW*-factor problem for type II $_1$ factors
Let an AW-algebra be a unital C-algebra whose left annihilator of every nonempty subset is a principal right ideal generated by a projection. An AW-factor is an AW-algebra that is…
Problemopenaw-algebras operator-algebras von-neumann-algebrasarXiv posted 2 days ago
0 votes0 replies0 views
The cross-section conjecture for maximal abelian subalgebras of quotient AW*-algebras
Cross-section conjecture. Any quotient algebra $B$ of an $AW^*$ -algebra $A$ modulo a separable lattice ideal is an $AW^*$ -algebra, and each maximal abelian subalgebra…
Conjectureopenaw-algebras injective-envelopes operator-algebrasarXiv posted 2 days ago

The AW*-factor problem for type II1_11​ factors