Xiaochun Fang
Published 2005-10-26Version 1
We introduce the labelling map and the quasi-free action of a locally compact abelian group on a graph $C^*$-algebra of a row-finite directed graph. Some necessary conditions for embedding the crossed product to an $AF$ algebra are discussed, and one sufficient condition is proved that if the row-finite directed graph is constructed by possibly attaching some 1-loops to a row-finite directed graph whose each weak connected component is a rooted (possibly infinite) directed tree, and the labelling map is almost proper, which is proved to be a reasonable generalization of the earlier case, then the crossed product can be embedded to an $AF$ algebra.
Crossed product by actions of finite groups with the Rokhlin Property
$C^*-$crossed product of groupoid actions on categories
Classification of the crossed product $C(M)\times_θ\Z_p$ for certain pairs $(M,θ)$
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