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1. CMB 2011 (vol 55 pp. 73)
Classification of Inductive Limits of Outer Actions of ${\mathbb R}$ on Approximate Circle Algebras In this paper we present a classification,
up to equivariant isomorphism, of $C^*$-dynamical systems $(A,{\mathbb R},\alpha )$
arising as inductive limits of directed systems
$\{ (A_n,{\mathbb R},\alpha_n),\varphi_{nm}\}$, where each $A_n$
is a finite direct sum of matrix algebras over the continuous
functions on the unit circle, and the $\alpha_n$s are outer actions
generated by rotation of the spectrum.
Keywords:classification, $C^*$-dynamical system Categories:46L57, 46L35 |
2. CMB 2006 (vol 49 pp. 213)
On Inductive Limit Type Actions of the Euclidean Motion Group on Stable UHF Algebras 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.
Keywords:classification, $C^*$-dynamical system Categories:46L57, 46L35 |
3. CMB 2003 (vol 46 pp. 164)
Classification of $\AF$ Flows 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/path-space construction, and one in terms of a modified
$K_0$ functor.
Categories:46L57, 46L35 |
4. CMB 2001 (vol 44 pp. 355)
Hilbert Bimodules with Involution We examine Hilbert bimodules which possess a (generally unbounded)
involution. Topics considered include a linking algebra
representation, duality, locality, and the role of these bimodules
in noncommutative differential geometry
Categories:46L08, 46L57, 46L87 |