Theoretical Statistics and Mathematics Unit, ISI Delhi

September 28, 2011 (Wednesday) ,
3:30 PM at Webinar

Speaker:
Bipul Saurabh,
Indian Statistical Institute, Delhi

Title:
Extensions of $C^*$-algebra by compact operators.

Abstract of Talk

We will show that the set of extensions of a unital,
separable, nuclear $C^*$ algebra by compact operators modulo
unitary equivalence forms an abelian group. As a consequence,
we
give a complete classification of essentially normal
operators
having same essential spectrum modulo an appropriate
equivalence relation. These results are part of the
celebrated
Brown-Douglas-Fillmore theory.