S Sundar: Finite dimensional C*-algebras Chair: V S Sunder Abstract: We will start with the spectral theorem for normal operators on finite dimensional Hilbert spaces. Building on it, I will show that finite dimensional commutative C*-algebras (i.e. *-algebra of matrices) are just functions on a finite space. If time permits, we will see that finite dimensional C*-algebras are direct sum of matrix algebras.