The Cyclic Group and the Transpose of an R-cyclic matrix
Operator Algebras
2020-06-02 v2 Probability
Abstract
We show that using the cyclic group the transpose of an R-cyclic matrix can be decomposed along diagonal parts into a sum of parts which are freely independent over diagonal scalar matrices. Moreover, if the R-cyclic matrix is self-adjoint then the off-diagonal parts are R-diagonal.
Cite
@article{arxiv.1911.00158,
title = {The Cyclic Group and the Transpose of an R-cyclic matrix},
author = {Octavio Arizmendi and James A. Mingo},
journal= {arXiv preprint arXiv:1911.00158},
year = {2020}
}
Comments
results unchanged, corrected typos, added details, and updated references. (19 pages)