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We extend ultragraph shift spaces and the realization of ultragraphC*-algebras as partial crossed products to include ultragraphs with sinks(under a mild condition, called (RFUM2), which allow us to dismiss the use offilters) and we describe the associated transformation groupoid. Using thesecharacterizations we study continuous orbit equivalence of ultragraph shiftspaces (via groupoids) and KMS and ground states (via partial crossedproducts).

KMS states and continuous orbit equivalence for ultragraph shift spaces with sinks