K(A,B,I). II
type: Item
instance of: scholarly article
title: K(A,B,I). II
zbMATH Open document ID: 0675.18010
DOI: 10.1007/BF00538431
author: C. Weibel
author: Susan C. Geller
published in: \(K\)-Theory
publication date: 1989-01-01T00:00:00Z
review text: [For Part I see J. Reine Angew. Math. 342, 12-34 (1983; Zbl 0503.18009).] Let \(A\to B\) be a map of Q-algebras and let I be an ideal of A such that \(I\cong BIB\). The ``KABI conjecture'' is the conjecture that there is an isomorphism from double relative K-theory \(K_ i(A,B,I)\) to double relative cyclic homology \(HC_{i-1}(A,B,I)\). The authors show that there is a surjection from \(K_ 2(A,B,I)\) to \(HC_ 1(A,B,I)\). They also reformulate the conjecture in various ways related to the polynomial rings A[t], B[t].
Mathematics Subject Classification ID: 18F25
Mathematics Subject Classification ID: 18G99
zbMATH DE Number: 4105192
zbMATH Keywords: double relative groups
zbMATH Keywords: double relative K-theory
zbMATH Keywords: double relative cyclic homology
zbMATH Keywords: polynomial rings
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4105192