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We prove that if $X$ is a separated algebraic space of finite type over $k$ endowed with an action of a $k$-algebraic group $G$, the equivariant \\'etale cohomology algebra $H^*([X/G],\\Lambda)$, where $[X/G]$ is the quotient stack of $X$ by $G$, is finitely generated over $\\Lambda$. Moreover, for coefficients $K \\in D^+_c([X/G],\\mathbb{F}_{\\ell})$ endowed with a commutative multiplicative s"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1305.0365","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-05-02T08:16:38Z","cross_cats_sorted":[],"title_canon_sha256":"7c5389a97311aae7f7459228bfadb7505084e5bc846eac8032ab40b7c138d2b0","abstract_canon_sha256":"affcbc7c05b05ac9b7219ae283fcab57588ac2bb55edf589fe690734a0a41fa0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:18:15.310422Z","signature_b64":"JiBM6NXOaQQKClgH0JOSkD0IyiMHad7qGMYxDFO3/RA7fKDrUuK6wnArygJG8V+j5GEWa+PVQ5xqi3jKQpKZDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"040e0e5307d7842bb8203fa6a16b8dfe6217f0f1b42bcc921c664512c5b79220","last_reissued_at":"2026-05-18T01:18:15.309761Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:18:15.309761Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Quotient stacks and equivariant \\'etale cohomology algebras: Quillen's theory revisited","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Luc Illusie, Weizhe Zheng","submitted_at":"2013-05-02T08:16:38Z","abstract_excerpt":"Let $k$ be an algebraically closed field. 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