Year: 2026
Type: article
Abstract: We prove a number of structure and isomorphism results concerning the noncommutative Natsume-Olsen spheres ޓ 2 n 1  deformed along a skewsymmetric matrix  2 .ޒThese include (a) the fact that two C -algebras of the form ޓ 3  ˝Mn are isomorphic precisely in the obvious cases; (b) the fact that m and n are recoverable from the isomorphism class of C.ޓ 2 m 1  /˝M n ; (c) the PI character, PI degree and Azumaya loci of C.ޓ 2 m 1  / for rational Â, along with a realization of their centers as (function algebras of) branched cover of ޓ 2n 1 ; and (d) for rational  again, the topological finite generation of C.ޓ 2m 1  / over their centers, with algebraic finite generation equivalent to being classical (equivalently, Azumaya).
Source: Pacific Journal of Mathematics
Author: Alexandru Chirvasitu
Institution: University at Buffalo, State University of New York
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
OpenAlex ID: W7140198784