activity
19942007
most citedDecidability of the isomorphism problem for stationary AF-algebras and the associated ordered simple dimension groups

34 citations · 127 across the 17 of their papers we have counts for

collaborators

17 papers

math.OA2007

Approximately inner derivations

Ola Bratteli, Akitaka Kishimoto, Derek W. Robinson

Let be an approximately inner flow on a algebra with generator and let denote the bounded generators of the approximating flows . We analyze the st…

math.OA2005

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…

math.OA2000★ 3 cited

AF flows and continuous symmetries

Ola Bratteli, Akitaka Kishimoto

We consider AF-flows, i.e., one-parameter automorphism groups of a unital simple C*-algebra which leave invariant the dense union of an increasing sequence of finite-dimensional *-…

math.FA2000★ 27 cited

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…

math.FA1999

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…

math.OA1999★ 34 cited

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…