November 12, 2012 -
4:00 pm to 5:00 pm
Location: Cupples I, Room 199 |
Host: Prof. John McCarthy
Abstract: Given a C*-dynamic system α : G → Aut(A), we could form the crossed product C*(G, A, α), which is again a C*-algebra, in a way similar to semi-product of groups. A naturally embeds into C*(G, A, α), hence it is interesting to see what properties of A can be inherited by the crossed product. In this talk, I will present several definitions of dimension for C*-algebras, which are non-commutative versions of Lebesgue's covering dimension for topological spaces. Then I will show that when the action α is nice, namely having the Rokhlin properties, then the property on A of having dimension less than k will be inherited by the crossed products.
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