Theoretical Statistics and Mathematics Unit, ISI Delhi

August 26, 2014 (Tuesday) ,
3:30 PM at Webinar

Speaker:
Bipul Saurabh,
Indian Statistical Institute, Delhi

Title:
Quantum double suspension of a $C^{*}$- algebra.

Abstract of Talk

By a celebrated result of Gelfand and Naimark, One can view a
unital $ C^{*}$- algebra as a non commutative analogue of a
compact Hausdorff topological space. From a given topological
space, new topological spaces can be constructed by doing
certain operations. Double suspension is one such operation.
In this talk we will discuss how to extend the notion of
double suspension to noncommutative set up and contruct a new
$C^{*}$- algebra $\Sigma^2A$ from a given $ C^{*}$-algebra
$A$. We will give a few examples of this construction. If time
permits, we will indicate why this construction is important
in the context of non commutative geometry.