Androulidakis I.

On a remark by Alan Weinstein. In: Recent Advances in Diffeologies and Their Applications. Vol. 794. Contemporary Mathematics; 2024.

Publisher's VersionAbstractAlan Weinstein remarked that, working in the framework of diffeology, a construction from Noncommutative Differential Geometry might provide the non-trivial representations required for the geometric quantisation of a symplectic structure which is not integral. In this note we show that the construction we gave with P. Antonini does indeed provide non-trivial representations.

on_a_question_of_a._weinstein_iakovos_androulidakis_revised_version.pdf