February 7, 2023
1:50 pm
-
2:45 pm
MW 154
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2023-02-07 14:50:00
2023-02-07 15:45:00
Cone algebras for Kitaev's quantum double model are type II_\infty factors
Title: Cone algebras for Kitaev's quantum double model are type II_\infty factors
Speaker: Daniel Wallick (The Ohio State University)
Abstract: Fiedler and Naaijkens showed that the excitations for Kitaev's abelian quantum double on an infinite planar lattice can be described as superselection sectors localized in cone regions. Until recently, the type of the von Neumann algebras corresponding to these regions remained open. In a new paper, Ogata showed that these algebras are type II_\infty factors. I will discuss the basics of the model in this talk and then describe Ogata's result, including a sketch of her argument.
MW 154
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2023-02-07 13:50:00
2023-02-07 14:45:00
Cone algebras for Kitaev's quantum double model are type II_\infty factors
Title: Cone algebras for Kitaev's quantum double model are type II_\infty factors
Speaker: Daniel Wallick (The Ohio State University)
Abstract: Fiedler and Naaijkens showed that the excitations for Kitaev's abelian quantum double on an infinite planar lattice can be described as superselection sectors localized in cone regions. Until recently, the type of the von Neumann algebras corresponding to these regions remained open. In a new paper, Ogata showed that these algebras are type II_\infty factors. I will discuss the basics of the model in this talk and then describe Ogata's result, including a sketch of her argument.
MW 154
America/New_York
public
Title: Cone algebras for Kitaev's quantum double model are type II_\infty factors
Speaker: Daniel Wallick (The Ohio State University)
Abstract: Fiedler and Naaijkens showed that the excitations for Kitaev's abelian quantum double on an infinite planar lattice can be described as superselection sectors localized in cone regions. Until recently, the type of the von Neumann algebras corresponding to these regions remained open. In a new paper, Ogata showed that these algebras are type II_\infty factors. I will discuss the basics of the model in this talk and then describe Ogata's result, including a sketch of her argument.
