3 papers
math.OA2026
Property (SP) and Inclusions of C*-algebras
Alec Gow, Roberto Hernández Palomares
As a generalization of Gabe and Neagu's inclusions of real rank zero, we introduce a notion of Property (SP) for inclusions of C*-algebras. We begin the systematic study of SP-incl…
math.OA2026
On the Quasitrace Problem and a Characterization of W*-algebras
Alec Gow
We conjecture that a unital C*-algebra is a W*-algebra if and only if each of its maximal abelian self-adjoint subalgebras is a W*-algebra; this is a space-free analogue of a known…
math.OA2025
Every 2-quasitrace is a trace
Alec Gow
A heretofore longstanding open question of Kaplansky was, "Is every Type II_1 AW*-factor a von Neumann algebra?" In this paper, we answer this question in the affirmative. As a con…