3 papers
math-ph2026
A scheme for topological phases of the Weyl -algebra
Giuseppe De Nittis, Santiago G. Rendel
In this work, we introduce a classification scheme for topological phases of matter based on the topology of the space of pure states of a model -algebra. Under it, topologica…
math-ph2026
Hilbert Grassmannians as classifying spaces
Giuseppe De Nittis, Kiyonori Gomi, Santiago G. Rendel
In this short work we prove that the Hilbert Grassmannians endowed with the weak topology are models for the classifying spaces of the unitary groups. As application of this result…
math-ph2025
Topological description of pure invariant states of the Weyl -algebra
Giuseppe De Nittis, Santiago G. Rendel
In this work we study the topology of certain families of states of the Weyl -algebra with finite degrees of freedom. We focus on families of pure states characterized by symm…