Mathematics – Operator Algebras
Scientific paper
1999-10-19
appeared in Ergodic Theory Dynam. Systems in two parts: 21 (2001), 1625--1655; 22 (2002), 99--127; corrigendum 22 (2002), 633
Mathematics
Operator Algebras
55 pages, LaTeX2e (amsart class). In this version the main theorem has been extended to possibly singular primitive integer ma
Scientific paper
10.1017/S014338570100178X 10.101
The notion of isomorphism of stable AF-C*-algebras is considered in this paper in the case when the corresponding Bratteli diagram is stationary, i.e., is associated with a single square primitive nonsingular incidence matrix. C*-isomorphism induces an equivalence relation on these matrices, called C*-equivalence. We show that the associated isomorphism equivalence problem is decidable, i.e., there is an algorithm that can be used to check in a finite number of steps whether two given primitive nonsingular matrices are C*-equivalent or not.
Bratteli Ola
Jorgensen Palle E. T.
Kim Ki Hang
Roush Fred
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