{"paper":{"title":"Fredholm modules over certain group C*-algebras","license":"","headline":"","cross_cats":["math.KT"],"primary_cat":"math.OA","authors_text":"Tom Hadfield","submitted_at":"2001-01-23T01:20:29Z","abstract_excerpt":"Motivated by the search for new examples of \"noncommutative manifolds\", we study the noncommutative geometry of the group C*-algebras of various discrete groups. The examples we consier are the infinite dihedral group\n ${\\bf Z} \\times_{\\sigma} {\\bf Z}_2$ and the semidirect product ${\\bf Z} \\times_{\\sigma} {\\bf Z}$. We present a unified treatment of the K-homology and cyclic cohomology of these algebras."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0101184","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}