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2015

Hall

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Full-Text Articles in Engineering

Movement Of Scientists And The Production Of Aluminum, Fathi Habashi May 2015

Movement Of Scientists And The Production Of Aluminum, Fathi Habashi

Fathi Habashi

Travelling scientists certainly have contributed to advancing knowledge by communicating their observations to others. Famous professors attract students from different countries to study in their institutions and the interaction among these students is of immense importance in the diffusion of knowledge. The invention of a process for the production of aluminum is an example.

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The Bulk-Edge Correspondence For The Quantum Hall Effect In Kasparov Theory, Christopher J. Bourne, Alan L. Carey, Adam C. Rennie Jan 2015

The Bulk-Edge Correspondence For The Quantum Hall Effect In Kasparov Theory, Christopher J. Bourne, Alan L. Carey, Adam C. Rennie

Faculty of Engineering and Information Sciences - Papers: Part A

We prove the bulk-edge correspondence in K-theory for the quantum Hall effect by constructing an unbounded Kasparov module from a short exact sequence that links the bulk and boundary algebras. This approach allows us to represent bulk topological invariants explicitly as a Kasparov product of boundary invariants with the extension class linking the algebras. This paper focuses on the example of the discrete integer quantum Hall effect, though our general method potentially has much wider applications.

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