arXiv subjects

Nura Patani

Publications and source records attributed to Nura Patani.

3 recordsLinked to original sources

arXiv2012

Obstructions to a general characterization of graph correspondences

For a countable discrete space V, every nondegenerate separable C*-correspondence over c_0(V) is isomorphic to one coming from a directed graph with vertex set V. In this paper we demonstrate why the analogous characterizations fail to hold for higher-rank graphs (where one considers product systems of C*-correspondences) and for topological graphs (where V is locally compact Hausdorff), and we discuss the obstructions that arise.

math.OA↗

arXiv2011

The crossed-product structure of C*-algebras arising from topological dynamical systems

We show that every topological k-graph constructed from a locally compact Hausdorff space Ω and a family of pairwise commuting local homeomorphisms on Ω satisfying a uniform boundedness condition on the cardinalities of inverse images may be realized as a semigroup crossed product in the sense of Larsen.

math.OA↗

arXiv2009

Characterizing graph C*-correspondences

Every separable nondegenerate C*-correspondence over a commutative C*-algebra with discrete spectrum is isomorphic to a graph correspondence.

math.OA↗