Minicourse  K-theory

 















Time/Location: MWF, 12-12.50 pm, Altgeld 445

Instructor: Marius Junge, Altgeld  363,  Office hour, Thursday 5-6 pm.

Text: An introduction to K-theory for  C*-algebras, Rordam, Larsen, Lautsen. London Math. Soc. Student Text 49.

Topics

 

 

1.

C*-Algebras, back ground and notation, invertible elements and functional calculus

 

2.

Projections and Unitaries

 

3.

K_0 group

 

4.

Functoriality and Homotopy

 

5.

K_1 group

 

6.

Index map

 

7.

Higher Order

 

8.

Exact sequences and

 

Bott periodicity

 


 

 

 

 

 


Grading:  Homework 50 %, Presentation 50%

Course hotline (email to students and instructor):  Share your questions on homework, course material.
 




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Department of Mathematics