Ulam Stability in C*-Algebras and its Connections to Rigidity Conjectures

Date

2026-8-14

Author

Saxena, Jayatra

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Roughly speaking, Ulam stability is the phenomenon of "approximate" morphisms between classes of objects in a category being close to actual morphisms. In this thesis, we study Ulam stability in the context of C*-algebras. More specifically, we survey some results regarding the Ulam stability of finite-dimensional-to-finite-dimensional C*-algebras and finite-dimensional-to-arbitrary C*-algebras, due to Farah and McKenney-Vignati respectively. As a motivating factor, we also briefly analyze the connection between Ulam stability of Borel quotient structures and a conjecture template regarding the rigidity of such structures under additional set-theoretic principles.

Subject Keywords

Ulam Stability, C*-algebras, Borel Quotient Structures, Rigidity Conjectures.

URI

https://hdl.handle.net/11511/120569

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Graduate School of Natural and Applied Sciences, Thesis