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arXiv · 1605.00038

Anticommutation in the Presentations of Theta-Deformed Spheres

Benjamin Passer
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Abstract

We consider an analogue of the theta-deformed even spheres, modifying the relations demanded of the self-adjoint generator x in the usual presentation. In this analogue, x is given anticommutation relations with all of the other generators, as opposed to being central. Using even K-theory, we show that noncommutative Borsuk-Ulam theorems hold for these algebras.

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Benjamin Passer. 2016-04-29. Anticommutation in the Presentations of Theta-Deformed Spheres. https://doi.org/10.1016/j.jmaa.2016.08.022

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