Elliott [11, p. 303 remarked that the classification of AF C*-algebras via dimension groups is
combinatorial in nature. Taking this remark seriously, we shall give a criterion for the …

The study of groups equipped with a compatible lattice order (" lattice-ordered groups" or" I!-
groups") has arisen in a number of different contexts. Examples of this include the study of …

We show in Section 3 that all simple dimension groups with finitely many pure states (see
Section 1) arise in this fashion. A generalization of this result to all simple dimension groups …

If K is a compact polyhedron in Euclidean d-space, defined by linear inequalities, β i≥ 0,
and if f is a polynomial in d variables that is strictly positive on K, then f can be expressed as …

This part of the Advanced Course is meant to introduce the reader to an invariant for C∗-
algebras—the Cuntz semigroup—which has recently come to the forefront of research on …

Locally semisimple algebras. Combinatorial theory and the K <Subscript>0 </Subscript>-functor
Page 1 LOCALLY 8EMISIMPLE ALGEBRAS. COMBINATORIAL THEORY AND THE AM Vershik …

We exhibit a functor Γ from lattice-ordered abelian groups with strong unit (L. Fuchs,“Partially
Ordered Algebraic Systems,” Pergamon, New York, 1963) to CC Chang's MV algebras …

The Possible Temperatures for Flows on a Simple AF Algebra | SpringerLink Skip to main
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In order to realize all possible KMS-bundles on the Jiang-Su algebra, we introduce a class
of C*-algebras which we call rationally approximately finite dimensional (RAF). Using these …

It is shown that any bundle of KMS state spaces which can occur for a flow on a unital
separable C*-algebra with a trace state can also be realized by a flow on any given unital …