N-parameter Fibonacci AF-Algebras are Isomorphic to Their Transpose AF-Algebras.

An n-parameter Fibonacci AF-algebra A is any stationary AF C ∗ -algebra with incidence matrix K of the form: K = m 1 m 2 ⋯ m n - 1 m n 1 0 ⋯ 0 0 0 1 ⋯ 0 0 ⋮ ⋮ ⋱ ⋮ ⋮ 0 0 ⋯ 1 0 , where n ≥ 2 and the m i are nonnegative integers with m n ≠ 0 . We write A = A K . The main result of the present paper is that A K is isomorphic to its transpose AF-algebra, A K t . [ABSTRACT FROM AUTHOR]