Free rank n+1 dense subgroups of \(R^ n\) and their endomorphisms

DOI10.1016/0022-1236(82)90041-6zbMath0489.20044OpenAlexW1982665214MaRDI QIDQ1166622

David E. Handelman

Publication date: 1982

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(82)90041-6

zbMATH Keywords

eigenvaluesgroup of unitspermutation matrixminimal polynomialRiesz groupelementary symmetric functionsdimension groupendomorphism ringcritical subgroupsapproximately finite dimensional C*-algebragroup of order automorphismsindecomposable critical groupsemi- invertible ideal

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Eigenvalues, singular values, and eigenvectors (15A18) General theory of (C^*)-algebras (46L05) Matrices of integers (15B36) Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30) Torsion-free groups, finite rank (20K15) Automorphisms of selfadjoint operator algebras (46L40) Abelian groups (20K99)

Related Items (6)

Ring and module structures on dimension groups associated with a shift of finite type ⋮ Measures on Cantor sets: The good, the ugly, the bad ⋮ Orbit equivalence of Cantor minimal systems and their continuous spectra ⋮ On topologically zero-dimensional morphisms ⋮ Endomorphism rings of modules and lattices of submodules ⋮ Simple archimedean dimension groups

Cites Work

• On the classification of inductive limits of sequences of semisimple finite-dimensional algebras
• Dimension Groups and Their Affine Representations
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