{ "id": "math/0201093", "version": "v1", "published": "2002-01-10T22:58:17.000Z", "updated": "2002-01-10T22:58:17.000Z", "title": "The noncommutative geometry of the discrete Heisenberg group", "authors": [ "Tom Hadfield" ], "comment": "23 pages, AMS Latex, uses Diagrams package", "journal": "Houston Journal of Mathematics, 29, no. 2, 453-482 (2003)", "categories": [ "math.OA", "math.KT" ], "abstract": "Motivated 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.", "revisions": [ { "version": "v1", "updated": "2002-01-10T22:58:17.000Z" } ], "analyses": { "subjects": [ "58B34", "19K33" ], "keywords": [ "noncommutative geometry", "dimensional discrete heisenberg group", "cyclic cohomology", "noncommutative manifolds", "unified treatment" ], "tags": [ "research tool", "journal article" ], "note": { "typesetting": "LaTeX", "pages": 23, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2002math......1093H" } } }