Event Title
Examples of the Stone-Cech Compactification and the Gelfand Transform
Location
Diamond 344
Start Date
30-4-2015 11:00 AM
End Date
30-4-2015 11:55 AM
Project Type
Presentation
Description
The Gelfand Theorem states that the Gelfand transform between C*-algebra a is an isometric isomorphism, and the proof for this theorem is quite short. How does is this applicable? Are there any classic examples? What about other examples of C*-algebras and their properties which are the basis for Gelfand's theorem? Through examples and further research into the Stone-Cech compactification, I provide insight into why the Gelfand transform is useful and how mathematicians make use of it, and the Stone-Cech compactification.
Faculty Sponsor
Ben Mathes
Sponsoring Department
Colby College. Mathematics and Statistics Dept.
CLAS Field of Study
Natural Sciences
Event Website
http://www.colby.edu/clas
ID
1665
Examples of the Stone-Cech Compactification and the Gelfand Transform
Diamond 344
The Gelfand Theorem states that the Gelfand transform between C*-algebra a is an isometric isomorphism, and the proof for this theorem is quite short. How does is this applicable? Are there any classic examples? What about other examples of C*-algebras and their properties which are the basis for Gelfand's theorem? Through examples and further research into the Stone-Cech compactification, I provide insight into why the Gelfand transform is useful and how mathematicians make use of it, and the Stone-Cech compactification.
https://digitalcommons.colby.edu/clas/2015/program/346