For any (possibly, non-unital) AF C*-algebra A with comparability of projections, let D(A) be the Elliott partial monoid of A, and G(A) the dimension group of A with scale D(A). In terms of the presentations of A by means of D(A) and G(A), and using Elliott's classification theory, we investigate various decidable and undecidable problems concerning AF C*-algebras.
Goedel incompleteness in AF C*-algebras / D. MUNDICI; C. TSINAKIS. - In: FORUM MATHEMATICUM. - ISSN 0933-7741. - STAMPA. - 20:(2008), pp. 1071-1084. [10.1515/FORUM2007]
Goedel incompleteness in AF C*-algebras
MUNDICI, DANIELE;
2008
Abstract
For any (possibly, non-unital) AF C*-algebra A with comparability of projections, let D(A) be the Elliott partial monoid of A, and G(A) the dimension group of A with scale D(A). In terms of the presentations of A by means of D(A) and G(A), and using Elliott's classification theory, we investigate various decidable and undecidable problems concerning AF C*-algebras.
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