On theN *-metric completion of regular rings
Copyright policy )On theN *-metric completion of regular rings
In this paper we prove that if R is a regular \(N^*\)-torsion free ring and S is its \(N^*\)-completion, then S is unit-regular, \(K_ 0\)(S) is unperforated and even archimedean and there is an affine homeomorphism between P(R) and P(S). We apply this result in order to prove that if R satisfies central separability then S can be seen as the ring of sections of a uniform field of metric rings.
\(N^*\)-completion, central separability, Centralizing and normalizing extensions, General theory of von Neumann algebras, von Neumann regular rings and generalizations (associative algebraic aspects), Grothendieck groups, \(K\)-theory, etc., \(K_ 0\), unit-regular, ring of sections, regular \(N^*\)-torsion free ring
\(N^*\)-completion, central separability, Centralizing and normalizing extensions, General theory of von Neumann algebras, von Neumann regular rings and generalizations (associative algebraic aspects), Grothendieck groups, \(K\)-theory, etc., \(K_ 0\), unit-regular, ring of sections, regular \(N^*\)-torsion free ring
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