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We define the notion of " projective " multiresolution analyses, for which, by definition, the initial space corresponds to a finitely generated projective module over the algebra C(T n) ofâ€¦ (More)

- LAWRENCE W. BAGGETT, Nadia S. Larsen, Kathy D. Merrill, Judith A. Packer, Iain Raeburn
- 1997

Generalized multiresolution analyses are increasing sequences of subspaces of a Hilbert space H that fail to be multiresolution analyses in the sense of wavelet theory because the core subspace doesâ€¦ (More)

- L. W. Baggett, P. E. T. Jorgensen, Katie Merrill, Judith A. Packer
- 2003

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 L2(R). They constructed a loop group action on m-systems. Byâ€¦ (More)

- Judith A. Packer
- 2007

Introduction. In [14] we began a study of C*-algebras corresponding to projective representations of the discrete Heisenberg group, and classified these C*-algebras up to *-isomorphism. In thisâ€¦ (More)

- Judith A. Packer
- 2005

We continue the study of projective module wavelet frames corresponding to diagonal dilation matrices on Rn with integer entries, focusing on the construction of a projective multi-resolutionâ€¦ (More)

- LAWRENCE W. BAGGETT, Veronika Furst, Kathy D. Merrill, Judith A. Packer

We study generalized filters that are associated to multiplicity functions and homomorphisms of the dual of an abelian group. These notions are based on the structure of generalized multiresolutionâ€¦ (More)

- Judith A. Packer
- 2016

We prove that noncommutative solenoids are limits, in the sense of the Gromov-Hausdorff propinquity, of quantum tori. From this observation, we prove that noncommutative solenoids can be approximatedâ€¦ (More)

- FrÃ©dÃ©ric LatrÃ©moliÃ¨re, Judith A. Packer, Judith A. Packer
- 2013

Let p be prime. A noncommutative p-solenoid is the Câˆ—-algebra of Z [ 1 p ] Ã— Z [ 1 p ] the additive subgroup of the field Q of rational numbers whose denominators are powers of p, twisted by aâ€¦ (More)

- BY JUDITH PACKER, Judith A. Packer
- 2007

We study operator algebras constructed from ergodic actions of discrete groups on compact Lebesgue spaces. We show that under appropriate conditions, the normalizer of a subalgebra corresponding to aâ€¦ (More)

This survey paper examines the work of J. von Neumann and M.H. Stone as it relates to the abstract theory of wavelets. In particular, we discuss the direct integral theory of von Neumann and how itâ€¦ (More)