Reconstructing \(C^*\)-algebras from their Murray von Neumann orders
For a \(C^*\)-algebra \(A\) the Murray-von Neumann poset \(L(A)\) of \(A\) is the set of Murray-von Neumann equivalence classes of projections in \(A\), equipped with the natural order. The authors study the question of when \(L(A)\) determines \(A\) up to isomorphism. Other related questions are studied.
Murray-von Neumann equivalence classes of projections
scientific article; zbMATH DE number 490811