Classification of irrational $\Theta$-deformed CAR $C^{\ast }$-algebras

Alexey Kuzmin, Lyudmila Turowska

Given a skew-symmetric real $n\times n$ matrix $\Theta$ we consider the universal enveloping $C^{\ast }$-algebra ${\mathsf{CAR}}_{\Theta }$ of the $\ast$-algebra generated by $a_1,\dots ,a_n$ subject to…