Matrix rings over *-regular rings and pseudo-rank functions

DOI10.2140/pjm.1987.129.209zbMath0669.16012OpenAlexW1990232940MaRDI QIDQ1118668

Pere Ara

Publication date: 1987

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1987.129.209

zbMATH Keywords

projectionscompletionmatrix rings*-regular rings*-regular self-injective ringspseudo-rank functionunit regular *-regular ring

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) General theory of von Neumann algebras (46L10) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) General theory of topological algebras with involution (46K05) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)

Related Items (8)

\(L^2\)-Betti numbers arising from the lamplighter group ⋮ Approximating the group algebra of the lamplighter by infinite matrix products ⋮ The extend centroid of C*-algebras ⋮ A Solution of the Matrix Problem for RickartC*-Algebras ⋮ \(K\)-theory classification of graded ultramatricial algebras with involution ⋮ Left and right projections are equivalent in Rickart \(C^*\)-algebras ⋮ Sylvester matrix rank functions on crossed products ⋮ Leavitt \(R\)-algebras over countable graphs embed into \(L_{2,R}\).

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