# Fusion of implementers for spinors on the circle.

@article{Kristel2019FusionOI, title={Fusion of implementers for spinors on the circle.}, author={P. Kristel and K. Waldorf}, journal={arXiv: Operator Algebras}, year={2019} }

We consider the space of odd spinors on the circle, and a decomposition into spinors supported on either the top or on the bottom half of the circle. If an operator preserves this decomposition, and acts on the bottom half in the same way as a second operator acts on the top half, then the fusion of both operators is a third operator acting on the top half like the first, and on the bottom half like the second. Fusion restricts to the Banach Lie group of restricted orthogonal operators, which… Expand

#### 3 Citations

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