On truncated $t$-free Fock spaces: spectrum of position operators and shift-invariant states

Vitonofrio Crismale, Simone Del Vecchio, Stefano Rossi

The ergodic properties of the shift on both full and $m$-truncated $t$-free $C^{\ast }$-algebras are analyzed. In particular, the shift is shown to be uniquely ergodic with respect to th…