Centrality of K2-functor revisited

JOURNAL OF PURE AND APPLIED ALGEBRA

卷:225

Article

Voronetsky, Egor¹ 

[1] St Petersburg State Univ, Chebyshev Lab, 14th Line VO,29B, St Petersburg 199178, Russia

关键词: Steinberg group;    Crossed module;    Isotropic linear group;   

DOI  :  10.1016/j.jpaa.2020.106547

来源: Elsevier

【 摘 要 】

We prove that St(n, A) is a crossed module over GL(n, A) under a local stable rank condition on an algebra A over a commutative ring. Our proof uses only elementary localization techniques in terms of pro-groups and stability results for K-1 and K-2. We also prove similar result for the Steinberg group associated with any sufficiently isotropic general linear group constructed by a quasi-finite algebra. (C) 2020 Elsevier B.V. All rights reserved.

【 授权许可】

Free