{"paper":{"title":"Representations of finite groups on modules over K-theory (with an appendix by Akhil Mathew)","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AT"],"primary_cat":"math.RT","authors_text":"David Treumann","submitted_at":"2015-03-09T13:49:50Z","abstract_excerpt":"Let $G$ be a finite group, and let $\\mathbf{K}_p$ denote the completion at $p$ of the complex $K$-theory spectrum. $\\mathbf{K}_p$ is a commutative ring spectrum that in some ways is very similar to the usual ring $\\mathbf{Z}_p$ of $p$-adic integers. We discuss $G$-actions on $\\mathbf{K}_p$-modules, and propose to study them by analogy with the classical theory of modular representations of $G$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.02477","kind":"arxiv","version":1},"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"}