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The conference is a continuation of the “Glances@Manifolds” in July 2015, Kraków, Poland, and the series of conferences “K-theory, C*-algebras and Topology of Manifolds” whose Part III took place in August 2015, Harbine, China. The conference focus is on the following topics related to study of manifolds: C*-algebras and noncommutative geometry. Geometric group theory. K-theory and topology of manifolds. Group actions on manifolds.