Year: 2025
Type: book-chapter
Abstract: In this paper, we provide a comprehensive analysis of involutive quantales, with a particular focus on quantic frames. We extend the axiomatic foundations of quantale-enriched topological spaces to include closure under the anti-homomorphic involution, facilitating a balanced topologization of the spectrum of unital $$C^*$$ -algebras that encompasses both closed right and left ideals through the concept of quantic frames. Specifically, certain subspaces of pure states are identified as strongly Hausdorff separated, involutive quantale-enriched topological spaces.
Source: Applied Categorical Structures
Authors: Javier Gutiérrez García, Ulrich Höhle
Institutions: University of the Basque Country, University of Wuppertal
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,290
Award: G2748340936
OpenAlex ID: W4417525823