caa a22 4500 388024100 CHVBK 20180307124932.0 cr unu---uuuuu 161130e199810 xx s 000 0 eng 10.1017/S0013091500019830 doi S0013091500019830 pii (NATIONALLICENCE)cambridge-10.1017/S0013091500019830 Donsig Allan P. Department of Pure Mathematics, University of Waterloo, Waterloo, Canada, N2L 3G1 Algebraic orders and chordal limit algebras [Elektronische Daten] [Allan P. Donsig] We develop an isomorphism invariant for limit algebras: an extension of Power's strong algebraic order on the scale of the K0-group (Power, J. Operator Theory 27 (1992), 87-106). This invariant is complete for a certain family of limit algebras: inductive limits of digraph algebras (a.k.a. finite dimensional CSL algebras) satisfying two conditions: (1) the inclusions of the digraph algebras respect the order-preserving normalisers, and (2) the digraph algebras have chordal digraphs. The first condition is also used to show that the invariant depends only on the limit algebra and not the direct system. We give an intrinsic characterisation of the limit algebra and not the direct system. We give an intrinsic characterisation of the limit algebras satisfying both (1) and (2). Copyright © Edinburgh Mathematical Society 1998 Proceedings of the Edinburgh Mathematical Society Cambridge University Press 41/3(1998-10), 465-485 0013-0915 41:3<465 1998 41 PEM https://doi.org/10.1017/S0013091500019830 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1017/S0013091500019830 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Donsig Allan P. Department of Pure Mathematics, University of Waterloo, Waterloo, Canada, N2L 3G1 NATIONALLICENCE 773 0- Proceedings of the Edinburgh Mathematical Society Cambridge University Press 41/3(1998-10), 465-485 0013-0915 41:3<465 1998 41 PEM CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-cambridge