Algebra Seminar: Milen Yakimov (LSU), 'Rigidity of automorphism groups of completed quantum tori'

Event Date: 

Wednesday, May 29, 2013 -
2:00pm to 3:00pm

Event Location: 

  • 4519 South Hall

Event Contact: 

Ken Goodearl

Email: goodearl@math.ucsb.edu

Abstract: The automorphism groups of infinite dimensional associative algebras are often difficult to describe. Precise answers are only known for very particular algebras and most of the known results are about the existence of wild automorphisms.

In this talk we will state and give a full proof of a rigidity theorem for automorphisms of completed quantum tori. It has a broad range of applications to classifying the automorphism groups of quantum algebras. (The talk will concentrate on the rigidity theorem rather than the applications.)