8 papers
Rohlin flows on the Cuntz algebra
Ola Bratteli, Akitaka Kishimoto, Derek W. Robinson
It is shown that certain quasi-free flows on the Cuntz algebra have the Rohlin property and therefore are cocycle-conjugate with each other. This, in particular, shows t…
Wavelet filters and infinite-dimensional unitary groups
Ola Bratteli, Palle E. T. Jorgensen
In this paper, we study wavelet filters and their dependence on two numbers, the scale N and the genus g. We show that the wavelet filters, in the quadrature mirror case, have a ha…
Convergence of the cascade algorithm at irregular scaling functions
Ola Bratteli, Palle E. T. Jorgensen
The spectral properties of the Ruelle transfer operator which arises from a given polynomial wavelet filter are related to the convergence question for the cascade algorithm for ap…
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…
Homogeneity of the pure state space of the Cuntz algebra
Ola Bratteli, Akitaka Kishimoto
We prove that the automorphism group of a Cuntz algebra of finite order acts transitively on the set of pure states which are invariant under some gauge actions (which may depend o…