Unit:
Κατεύθυνση Θεωρητικά ΜαθηματικάLibrary of the School of Science
Author:
Panagopoulos Nikolaos
Supervisors info:
Αριστείδης Κατάβολος, Καθηγητής, Τμήμα Μαθηματικών, Εθνικό και Καποδιστριακό Πανεπιστήμιο Αθηνών
Original Title:
Εισαγωγή στην Κ-θεωρία των C*-αλγεβρών και το θεώρημα ταξινόμησης του Elliott
Translated title:
An introduction to K-theory for C*-algebras and Elliott's classification theorem
Summary:
In this thesis we first give a brief introduction to K-theory for C*-algebras, which has its roots in (topological) K-theory. K-theory was developed by Atiyah and Hirzebruch in the 1960s based on work of Grothendieck in algebraic geometry. It was introduced as a tool in C*-algebra theory in the early 1970s when George Elliott proved that AF-algebras (the so-called "approximately finite dimensional " C*-algebras) are classified by their ordered K_0-groups. This proof takes place in the second part of this thesis.
Main subject category:
Science
Other subject categories:
Analysis
Keywords:
C*-algebras, AF-algebras, Bratteli diagrams, K-theory
