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 M_n(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 M_n(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).

Projektkod MVEX01-18-15

Gruppstorlek 3-4

Förkunskapskrav Some familiarity with Function Analysis would be helpful.

Handledare Joao Pedro Paulos, pjoo@chalmers.se, Maria Roginskaya, maria.roginskaya@chalmers.se.

Examinator Marina Axelson-Fisk

Institution Matematiska vetenskaper

Publicerad: ti 31 okt 2017.