A non-commutative notion of separate continuity
Speaker: M. Daws, (Leeds)
Date: Tuesday, November 25th
Time: 4:00pm
Location: Trinity College Dublin, TCD WR20
Abstract:
The classical Gelfand theory of communicate C*-algebras tells us that communicate C*-algebras are nothing but the algebras C_0(K), the algebra of complex valued functions, vanishing at infinity, on a locally compact Hausdorff space. This, in some sense, is the motivating example behind non-commutative geometry / topology. How might we similarly consider separate continuity from a C*-algebra framework? We present one way to do this-- the naive "noncommutative" definition thus resulting doesn't quite work, but we will show that while our candidate set is not an algebra, in general, it does always contain a "maximum" C*-subalgebra. Time allowing, I will present some applications to the study of "quantum" topological semigroups.
Series: Ananlysis
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