Grothendieck group invariants for partly self-adjoint operator algebras
| dc.creator | Power, S. C. | |
| dc.date | 1998-10-08 | |
| dc.date | 1999-01-22 | |
| dc.date.accessioned | 2026-07-07T05:26:21Z | |
| dc.date.available | 2026-07-07T05:26:21Z | |
| dc.description | Various partially ordered Grothendieck group invariants are introduced for general operator algebras and these are used in the classification of direct systems and direct limits of finite-dimensional complex incidence algebras with common reduced digraph H (systems of H-algebras). In particular the dimension distribution group G(A; C), defined for an operator algebra A and a self-adjoint subalgebra C, generalises both the K0 group of a sigma unital C*-algebra B and the spectrum (fundamental relation) R(A) of a regular limit A of triangular digraph algebras. This invariant is more economical and computable than the so called regular Grothendieck group which nevertheless forms the basis for a complete classification of regular systems of H-algebras. | |
| dc.description | 22 pages | |
| dc.identifier | https://arxiv.org/abs/math/9810051 | |
| dc.identifier | http://arxiv.org/abs/math/9810051 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/77522 | |
| dc.subject | Operator Algebras | |
| dc.subject | 46L35 (primary), 47D25 (secondary) | |
| dc.title | Grothendieck group invariants for partly self-adjoint operator algebras | |
| dc.type | text |