MVEX01-18-15 Commutative (unital) C*-algebras.
Historically, C*-algebras gained notoriety due to its use in quantum mechanics. A well-known example of a C*-algebra is the algebra Mn(ℂ) of n x n matrices over ℂ. Another important example of a C*-algebra is the algebra of continuous functions C(X). One difference between Mn(ℂ) and C(X) is that the first one is not commutative, while the second one is. It turns out that in a way, actually C(X) is the only example of a commutative C*-algebra with unity. This acclaimed result is known as Gelfand duality. In this project, we introduce C*-algebras and aim to understand the proof of this result.
Obs! För GU-studenter räknas projektet som ett projekt i Matematik (MMG900/MMG910).
Förkunskapskrav Some familiarity with Function Analysis would be helpful.
Examinator Marina Axelson-Fisk
Institution Matematiska vetenskaper