Gel'fand Duality

Series: 
Geometry Topology Student Seminar
Wednesday, February 8, 2012 - 14:05
1 hour (actually 50 minutes)
Location: 
Skiles 169
,  
Georgia Tech
We will prove a duality between locally compact Hausdorff spaces and the C*-algebra of continuous complex-valued functions on that space. Formally, this is the equivalence of the opposite category of commutative C*-algebras and the category of locally compact Hausdorff spaces.