Universality of the annulus central extension for diffeological semigroups

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Let Ann⁡\operatorname{Ann} be the annulus semigroup and let

0→C×Z→A ⁣ ⁣ini ⁣ ⁣~n⁡→Ann⁡→00\to\mathbb{C}\times\mathbb{Z}\to\operatorname{A\widetilde{\!\!\phantom{i}n\phantom{i}\!\!}n}\to\operatorname{Ann}\to0

be the stated central extension. Diffeological universality conjecture. This extension is a universal central extension in the category of diffeological semigroups over manifolds with corners. The paper proves that the extension is a central extension of real diffeological semigroups, but leaves its universality open.

References

Primary source

André G. Henriques and James E. Tener, “The Segal-Neretin semigroup of annuli”, arXiv:2410.05929 (2024).

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