2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/171251Motivated by the search for new examples of ``noncommutative manifolds'', we study the noncommutative geometry (in the sense of Connes) of the group C*-algebra of the three dimensional discrete Heisenberg group. We present a unified treatment of the K-homology, cyclic cohomology and derivations of this algebra.23 pages, AMS Latex, uses Diagrams packageOperator AlgebrasK-Theory and Homology58B34, 19K33, 46Ltext