The Classification of Limits of 2n-cycle Algebras
| dc.creator | Donsig, Allan P. | |
| dc.creator | Power, S. C. | |
| dc.date | 1998-10-19 | |
| dc.date.accessioned | 2026-07-07T05:26:32Z | |
| dc.date.available | 2026-07-07T05:26:32Z | |
| dc.description | We obtain a complete classification of the locally finite algebras and the operator algebras, given as algebraic inductive limits and Banach algebraic inductive limits respectively, of direct systems: A_1 contained in A_2 contained in A_3 and so on. Here the A_k are 2n-cycle algebras, where n is at least 3 and the inclusions are of rigid type. The complete isomorphism invariant is essentially the triple (K_0(A), H_1(A), Sigma(A)) where K_0(A) is viewed as a scaled ordered group, H_1(A) is a partial isometry homology group and Sigma(A), contained in the direct sum of K_0(A) and H_1(A), is the 2n-cycle joint scale. | |
| dc.description | 14 pages | |
| dc.identifier | https://arxiv.org/abs/math/9810123 | |
| dc.identifier | http://arxiv.org/abs/math/9810123 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/77586 | |
| dc.subject | Operator Algebras | |
| dc.subject | 47D25; 46K50 | |
| dc.title | The Classification of Limits of 2n-cycle Algebras | |
| dc.type | text |