K-Theory for C*-Algebras

Postgraduate Thesis uoadl:1318031 689 Read counter

Unit:
Τομέας Άλγεβρας Γεωμετρίας
Library of the School of Science
Deposit date:
2013-05-31
Year:
2013
Author:
Τσαφαράς Κυριάκος
Supervisors info:
Καθηγητής Ιωάννης Εμμανουήλ (Επιβλέπων)
Original Title:
Κ-Θεωρία για C*-Άλγεβρες
Languages:
Greek
Translated title:
K-Theory for C*-Algebras
Summary:
We demonstrate the construction of the functors K_0 and K_1 , from the category
of C -algebras, to the category of Abelian groups. We define the index map and
we show the isomorphism of the Abelian groups K_0 (SA) and K_1 (A). We proceed
with proving the Bott periodicity and presenting the six-term exact sequence.
Finally, we give some elementary examples of the computation of these groups.
Keywords:
K-Theory, C -algebra, Homomorphism, Functor, Index map
Index:
No
Number of index pages:
0
Contains images:
No
Number of references:
6
Number of pages:
iii, 62
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