M. Daws (Leeds)

will speak on

A non-commutative notion of separate continuity

Time: 4:00PM
Date: Tue 25th November 2014
Location: [map]

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 "non-commutative" 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.

(This talk is part of the Analysis series.)

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