A new perspective on spectra of quantum spaces

Arnaud Brothier

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arXiv · 2605.15861

A new perspective on spectra of quantum spaces

Arnaud Brothier

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Abstract

We consider a class of C*-algebras C(X) associated with quantum spaces such as spheres, projective spaces, and lens spaces. We introduce a non-self-adjoint operator algebra A together with an explicit functor from the category of representations of A to that of C(X). We then construct explicitly a family of one-dimensional representations of A that parametrise the entire spectrum of C(X).

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Arnaud Brothier. 2026-05-15. A new perspective on spectra of quantum spaces. https://arxiv.org/abs/2605.15861

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