Abstract. We use some results about stable relations to show that some of the simple, stable, projectionless crossed products of O 2 by R considered by Kishimoto and Kumjian are inductive limits of type I C * -algebras. The type I C * -algebras that arise are pullbacks of finite direct sums of matrix algebras over the continuous functions on the unit interval by finite dimensional C * -algebras.
Abstract. An AF flow is a one-parameter automorphism group of an AF C * -algebra A such that there exists an increasing sequence of invariant finite dimensional sub-C * -algebras whose union is dense in A. In this paper, a classification of C * -dynamical systems of this form up to equivariant isomorphism is presented. Two pictures of the actions are given, one in terms of a modified Bratteli diagram/pathspace construction, and one in terms of a modified K 0 functor.
A multiple-baseline across participants design was used to investigate the effect of the Cover-Copy-Compare (CCC) intervention on multiplication-fact fluency for students with emotional and behavioral disorders (EBD). Although CCC is a well-researched intervention for mathematics, limited research has been conducted with students with EBD even though these students often struggle academically. Results indicate that a functional relation was established between CCC and an improved number of digits correct per minute for multiplication problems for only one of three elementary-age boys with EBD. Tau-U effect sizes ranged from no effect for one participant to a large effect for another participant. The length of the intervention and the initial level of a student’s skills may be related to the effectiveness of CCC for students with EBD and should be explored in future studies.
Abstract. In this paper we present a classification, up to equivariant isomorphism, of C * -dynamical systems (A, R, α) arising as inductive limits of directed systems {(An, R, αn), ϕnm}, where each An is a finite direct sum of matrix algebras over the continuous functions on the unit circle, and the αns are outer actions generated by rotation of the spectrum.
Abstract. An invariant is presented which classifies, up to equivariant isomorphism, C * -dynamical systems arising as limits from inductive systems of elementary C * -algebras on which the Euclidean motion group acts by way of unitary representations that decompose into finite direct sums of irreducibles.
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