The $\kappa$-Poincar\'e Group on a $C^*$-level
Operator Algebras
2018-09-27 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
Quantum Algebra
Abstract
The -algebraic -Poincar\'{e} Group is constructed. The construction uses groupoid algebras of differential groupoids associated to Lie group decomposition. It turns out the underlying -algebra is the same as for "-Euclidean Group" but a comultiplication is twisted by some unitary multiplier. Generators and commutation relations among them are presented.
Keywords
Cite
@article{arxiv.1809.10053,
title = {The $\kappa$-Poincar\'e Group on a $C^*$-level},
author = {Piotr Stachura},
journal= {arXiv preprint arXiv:1809.10053},
year = {2018}
}
Comments
33 pages, no figures