2021/04/05 by Senan Sekhon, Sekhon, Senan
Mathematics · #46B28 #46J05 (Secondary) #46J25 (Primary) #46L05 #81R15 #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Operator Algebras (math.OA) #Spectral Theory in Mathematical Physics
paper · pdf · doi:10.48550/arxiv.2104.02038
openalex publication_date 2021/04/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this project, we will develop the theory of Banach algebras and prove two celebrated theorems, the Gelfand representation theorem and the GKZ theorem. We will then proceed to develop the theory of C^*-algebras and prove the Gelfand-Naimark theorem and the GNS theorem. Finally, we will show how they can be used to give an alternative formulation of quantum mechanics.