Chennai Mathematical Institute


Math MSc/PhD Research Seminar on Nov 7,8,9,11
11.50 am, Seminar Hall
Bott Periodicity for K-theory of C*-algebras

Prakash Kumar Singh
Chennai Mathematical Institute.


We will arrive at a simple proof of Bott Periodicity for K-theory of C*-algebras via quasi homomorphisms. The whole argument relies on the fact that the K_i groups of the Toeplitz algebra are isomorphic to the K_i groups of complex numbers. This is where we shall use quasi homomorphisms. Then the basic properties of the functors K_i and that of tensor products of C* algebras will lead us towards the end result. This proof is due to Joachim Cuntz.