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In the case that $A$ is noetherian we show that this sequence is given by the localisation sequence for a left denominator set $S$ in $B$. If $B=Z_p[[G]]$ happens to be the Iwasawa algebra of a $p$-adic Lie group $G\\isomorph H\\rtimes Z_p$, this set $S$ is Venjakob's canonical Ore set. In particular, our result implies that\n  $$ 0--> K_{n+1}(Z_p[[G]])-->"},"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":"1109.3423","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2011-09-15T18:53:01Z","cross_cats_sorted":["math.NT","math.RA"],"title_canon_sha256":"e216c3a18525508a3e1eb4dac6d09e6537690c2523627cd2d8e0e5d730418cc6","abstract_canon_sha256":"a7edfcfd985150bfca9b730f8bf4cabee009d9f57fcd4b48ecc83a0881a698f2"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:13:46.561290Z","signature_b64":"gqlndvlfK7Yv3pHEU+vXP3EIsVmaQ/hn67GJ9vxCQevPaHSG9PcTbU+60hs87Nxx256XQWnBZFpEwEgU58ZSBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"af4982f4e79c1ce11222f101d344f2eb727a888aaf74113cd59632df49606f2a","last_reissued_at":"2026-05-18T03:13:46.560625Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:13:46.560625Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On a Localisation Sequence for the K-Theory of Skew Power Series Rings","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NT","math.RA"],"primary_cat":"math.KT","authors_text":"Malte Witte","submitted_at":"2011-09-15T18:53:01Z","abstract_excerpt":"Let $B=A[[t;\\sigma,\\delta]]$ be a skew power series ring such that $\\sigma$ is given by an inner automorphism of $B$. 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