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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\n                    <jats:inline-formula>\n                      <jats:tex-math>$$C^*$$<\/jats:tex-math>\n                    <\/jats:inline-formula>\n                    -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.\n                  <\/jats:p>","DOI":"10.1007\/s10485-025-09831-1","type":"journal-article","created":{"date-parts":[[2025,12,20]],"date-time":"2025-12-20T13:29:06Z","timestamp":1766237346000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Involutive Quantales and Quantale-Enriched Involutive Topological Spaces"],"prefix":"10.1007","volume":"34","author":[{"given":"Javier","family":"Guti\u00e9rrez Garc\u00eda","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ulrich","family":"H\u00f6hle","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2025,12,20]]},"reference":[{"key":"9831_CR1","doi-asserted-by":"publisher","DOI":"10.1016\/j.fss.2023.108633","volume":"468","author":"I Arrieta","year":"2023","unstructured":"Arrieta, I., Guti\u00e9rrez Garc\u00eda, J., H\u00f6hle, U.: Enriched lower separation axioms and the principle of enriched continuous extension. 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