Stone spectra of finite von Neumann algebras of type ${\mathrm{I}}_{\mathrm{n}}$

Abstract

\noindent{In} this paper, we clarify the structure of the Stone spectrum of an arbitrary finite von Neumann algebra $\rr$ of type ${\mathrm{I}}_{\mathrm{n}}$. The main tool for this investigation is a generalized notion of rank for projections in von Neumann algebras of this type.

arXiv comment19 pages