Every Abelian ℓ-Group is Ultrasimplicial

Journal of Algebra

Volumn 225, Issue 2, 2000, Pages 872-884

  Marra, Vincenzo ^a  

^a via Marco Aurelio 7 ^*  (Italy)

Author keywords

group; dimension group; ultrasimplicial property; Euclidean algorithm

Indexed keywords

EID: 0034652916     PISSN: 00218693     EISSN: None     Source Type: Journal    
DOI: 10.1006/jabr.1999.8163     Document Type: Article

References (10)

1. Anderson M., Feil T. Lattice-Ordered Groups. 1988;Reidel Publishing Company, Dordrecht.
2. Bigard A., Keimel K., Wolfenstein S. Groupes et Anneaux Réticulés. Lecture Notes in Mathematics. 608:1971;Springer-Verlag, Berlin.
3. Blackadar B. K-Theory for Operator Algebras. MSRI Publications. 1986.
4. 0. inLecture Notes in Mathematics, Vol. 734, p. 1-49, Springer-Verlag, Berlin, 1979.
5. Goodearl K. R. Partially ordered abelian groups with interpolation. Math Surveys Monogr. 20:1986.
6. Handelman D. Ultrasimplicial dimension groups. Arch. Math. (Basel). 40:1983;109-115.
7. 0 of AF C-algebras. Adv. Math. 68:1988;23-39.
8. D. Mundici, Classes of ultrasimplicial lattice-ordered abelian groups, to appear.
9. D. Mundici, and G. Panti, A Constructive Proof that Every 3-generated ℓ-group is Ultrasimplicial, inProceedings of the mini-semester in memoriam Helena Rasiowa, Warsaw, 1996, Banach Centre Publications (D. Niwinski et al., Eds.), to appear.
10. Shen C.-L. On the classification of the ordered groups associated with the approximately finite-dimensional C-algebras. Duke. Math. J. 46:1979;613-633.