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arXiv · 1809.10053

The $\kappa$-Poincar\'e Group on a $C^*$-level

Piotr Stachura
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Abstract

The $C^*$-algebraic $\kappa$-Poincar\'{e} Group is constructed. The construction uses groupoid algebras of differential groupoids associated to Lie group decomposition. It turns out the underlying $C^*$-algebra is the same as for "$\kappa$-Euclidean Group" but a comultiplication is twisted by some unitary multiplier. Generators and commutation relations among them are presented.

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Piotr Stachura. 2018-09-26. The $\kappa$-Poincar\'e Group on a $C^*$-level. https://arxiv.org/abs/1809.10053

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