The Arens-Michael envelopes of the Jordan plane and
Dmitrii Pedchenko
The Pennsylvania State University, University Park, USA
![The Arens-Michael envelopes of the Jordan plane and $U_q(\mathfrak{sl}(2))$ cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-jncg-volume-17-issue-1.png&w=3840&q=90)
Abstract
The Arens-Michael functor in noncommutative geometry is an analogue of the analytification functor in algebraic geometry: out of the ring of “algebraic functions” on a noncommutative affine scheme, it constructs the ring of “holomorphic functions” on it when viewed as a noncommutative complex analytic space. In this paper, we explicitly compute the Arens-Michael envelopes of the Jordan plane and the quantum enveloping algebra of for .
Cite this article
Dmitrii Pedchenko, The Arens-Michael envelopes of the Jordan plane and . J. Noncommut. Geom. 17 (2023), no. 1, pp. 81–100
DOI 10.4171/JNCG/461