Journal of Operator Theory

Volume 50, Issue 2, Fall 2003 pp. 387-409.

$\mathbb{Z}$-Analytic TAF algebras and partial dynamical systems

Authors: Justin R. Peters (1) and Yiu T. Poon (2)
Author institution: (1) Department of Mathematics, Iowa State University, Ames, IA 50011, USA
(2) Department of Mathematics, Iowa State University, Ames, IA 50011, USA

Summary: Connections between partial dynamical systems, a generalized notion of partial dynamical systems defined by nested sequences of partial hoeomorphisms, and triangular AF algebras which admit an integer-valued cocycle are established.

Keywords: Partial dynamical system, triangular {\rm AF} algebra, ${\bbb Z}$-analytic

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