Completely positive maps, order zero maps, and nuclear dimension

Wednesday, February 13, 2019 - 2:00pm to 2:50pm
Location: 
WXLR A 308

Speaker

Jack Spielberg
Arizona State University

Abstract

Nuclear dimension of C*-algebras was defined by Winter and Zacharias in a 2010 paper as yet another generalization of topological dimension from spaces to C*-algebras. This one has turned out to be crucial for a lot of deep results in classification and structure of C*-algebras. I will present the definition, after going through necessary background stuff on completely positive maps and order zero maps, which is worth knowing in its own right.

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