On Bohr sets of integer-valued traceless matrices

Alexander Fish
2017 Proceedings of the American Mathematical Society  
In this paper we show that any Bohr-zero non-periodic set B of traceless integer valued matrices, denoted by Λ, intersects non-trivially the conjugacy class of any matrix from Λ. As a corollary, we obtain that the family of characteristic polynomials of B contains all characteristic polynomials of matrices from Λ. The main ingredient used in this paper is an equidistribution result of Burgain-Furman-Lindenstrauss-Mozes [6].
doi:10.1090/proc/13743 fatcat:owecqad4a5bwtp7t373qnk5mvy