English

Anticommutation in the Presentations of Theta-Deformed Spheres

Operator Algebras 2019-07-04 v1 Algebraic Topology

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.

Keywords

Cite

@article{arxiv.1605.00038,
  title  = {Anticommutation in the Presentations of Theta-Deformed Spheres},
  author = {Benjamin Passer},
  journal= {arXiv preprint arXiv:1605.00038},
  year   = {2019}
}

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14 pages