{"paper":{"title":"KK-theoretic duality for proper twisted actions","license":"","headline":"","cross_cats":["math.KT"],"primary_cat":"math.OA","authors_text":"Heath Emerson, Hyun Jeong Kim, Siegfried Echterhoff","submitted_at":"2006-10-02T15:52:43Z","abstract_excerpt":"Let the discrete group G act properly and isometrically on the Riemannian manifold X. Let C_0(X, \\delta) be the section algebra of a smooth locally trivial G-equivariant bundle of elementary C*-algebras representing an element \\delta of the Brauer group Br_G(X). Then C_0(X,\\delta^{-1}) x G is KK-theoretically Poincare dual to (C_0(X,\\delta)\\otimes_{C_0(X)} C_\\tau(X)) xG, where \\delta^{-1} is the inverse of \\delta in the Brauer group. We deduce this from a strengthening of Kasparov's duality theorem RKK^G(X; A,B) \\cong KK^G(C_\\tau(X)\\otimes A, B). As applications we also obtain a version of the"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0610044","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"}