{"paper":{"title":"Generalized Connes-Chern characters in KK-theory with an application to weak invariants of topological insulators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.dis-nn","math-ph","math.KT","math.MP"],"primary_cat":"math.OA","authors_text":"Emil Prodan, Hermann Schulz-Baldes","submitted_at":"2016-06-28T21:46:45Z","abstract_excerpt":"We use constructive bounded Kasparov K-theory to investigate the numerical invariants stemming from the internal Kasparov products $K_i(\\mathcal A) \\times KK^i(\\mathcal A, \\mathcal B) \\rightarrow K_0(\\mathcal B) \\rightarrow \\mathbb R$, $i=0,1$, where the last morphism is provided by a tracial state. For the class of properly defined finitely-summable Kasparov $(\\mathcal A,\\mathcal B)$-cycles, the invariants are given by the pairing of K-theory of $\\mathcal B$ with an element of the periodic cyclic cohomology of $\\mathcal B$, which we call the generalized Connes-Chern character. When $\\mathcal "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.08897","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"}