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Oxford Quantum Talks Archive

Constructive aspects of Gelfand duality

Christopher J. Mulvey, University of Sussex
Categories, Logic and Foundations of Physics VII, September 2010, University of Birmingham

One of the important foundational aspects of recent approaches to developing quantum theories of space and time has been the existence of a constructive theory of Gelfand duality for commutative C*-algebras. In this talk, we shall outline the way in which this theory was developed, examine its application to the context of quantum physics, and consider its extension to the non-commutative case.

[video] [streaming video] [slides]