43 citations · 185 across the 27 of their papers we have counts for
3 papers · 2 filters
Decidability of the isomorphism problem for stationary AF-algebras and the associated ordered simple dimension groups
Ola Bratteli, Palle E. T. Jorgensen, Ki Hang Kim +1
The notion of isomorphism of stable AF-C*-algebras is considered in this paper in the case when the corresponding Bratteli diagram is stationary, i.e., is associated with a single…
Representation Theory and Numerical AF-invariants: The representations and centralizers of certain states on O_d
Ola Bratteli, Palle E. T. Jorgensen, Vasyl Ostrovskyi
Let O_d be the Cuntz algebra on generators S_1,...,S_d, 2 \leq d < \infty, and let D_d \subset O_d be the abelian subalgebra generated by monomials S_αS_α^* =S_{α_{1}}...S_{α_{k}}S…
Non-stationarity of isomorphism between AF algebras defined by stationary Bratteli diagrams
Ola Bratteli, Palle E. T. Jorgensen, Ki Hang Kim +1
We first study situations where the stable AF-algebras defined by two square primitive nonsingular incidence matrices with nonnegative integer matrix elements are isomorphic even t…