43 citations · 169 across the 17 of their papers we have counts for
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Use of operator algebras in the analysis of measures from wavelets and iterated function systems
Palle E. T. Jorgensen
In this paper, we show how a class of operators used in the analysis of measures from wavelets and iterated function systems may be understood from a special family of representati…
On C*-algebras generated by pairs of q-commuting isometries
Palle E. T. Jorgensen, Daniil P. Proskurin, Yurii S. Samoilenko
We consider the C*-algebras O_2^q and A_2^q generated, respectively, by isometries s_1, s_2 satisfying the relation s_1^* s_2 = q s_2 s_1^* with |q| < 1 (the deformed Cuntz relatio…
An analogue of Bratteli-Jorgensen loop group actions for GMRA's
L. W. Baggett, P. E. T. Jorgensen, K. D. Merrill +1
Several years ago, O. Bratelli and P. Jorgensen developed the concept of m-systems of filters for dilation by a positive integer N>1 on L^2(R). They constructed a loop group action…
Closed subspaces which are attractors for representations of the Cuntz algebras
Palle E. T. Jorgensen
We analyze the structure of co-invariant subspaces for representations of the Cuntz algebras O_N for N = 2,3,..., N < infinity, with special attention to the representations which…
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…