Characterization of matrix types of ultramatricial algebras
| dc.creator | Braun, Gábor | |
| dc.date | 2004-06-15 | |
| dc.date | 2005-07-21 | |
| dc.date.accessioned | 2026-07-07T05:09:15Z | |
| dc.date.available | 2026-07-07T05:09:15Z | |
| dc.description | A dimension group is a partially ordered countable group such that (1) every finite subset is contained in an ordered subgroup which is a finite direct power of Z and (2) the group has an order unit i.e. a positive element u such that every group element is smaller than a multiple of u. For every subgroup H of the multiplicatice groups of the positive rational numbers a dimension group is constructed whose order-preserving automorphism group is H and H acts on an order unit by multiplication as rational numbers. This implies that for every equivalence relation on the positive integers for which n and m are equivalent if and only if nk and mk are equivalent, there is a ring over which the ring of n times n matrices and the ring of m times m matrices are equivalent if and only if n and m are equivalent. | |
| dc.description | 11 pages, no figure, LaTeX2e, used non-standard package: bezos (only enumitem.sty, file included) Changes: publisher's corrections + other minor changes (misprints, grammar). Essentially the same as the published version | |
| dc.identifier | https://arxiv.org/abs/math/0406302 | |
| dc.identifier | http://arxiv.org/abs/math/0406302 | |
| dc.identifier | New York Journal of Mathematics 11 (2005), 21-33, URL: http://nyjm.albany.edu:8000/j/2005/11-2.html | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/71564 | |
| dc.subject | Group Theory | |
| dc.subject | Rings and Algebras | |
| dc.subject | 20K30; 16S50 | |
| dc.title | Characterization of matrix types of ultramatricial algebras | |
| dc.type | text |