An Expository Note on Wavelets and Graph $$C^{*}$$ C ∗ -algebras

V. A. Anjali (), V. B. Kiran Kumar () and P Shankar ()
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V. A. Anjali: Cochin University of Science and Technology
V. B. Kiran Kumar: Cochin University of Science and Technology
P Shankar: Cochin University of Science and Technology

Indian Journal of Pure and Applied Mathematics, 2024, vol. 55, issue 1, 123-137

Abstract: Abstract This article provides an expository review of the relationship between graph $$C^{*}$$ C ∗ -algebras and the wavelet theory. This connection was first established by O. Bratteli and P.E.T. Jorgensen in the late $$90'$$ 90 ′ s. Various mathematicians paid attention to this connection in the past 25 years, and the area has become active and dynamic now. The major contributors include O. Bratteli, P. E. T. Jorgensen, C. Farsi, E. Gillaspy, S. Kang, J. Packer, M. Marcolli and A. M. Paolucci. Our aim is to provide an expository survey in this direction.

Keywords: Graph $$C^{*}$$ C ∗ -algebras; Wavelets; Multiresolution Analysis; Primary; Secondary (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/s13226-022-00351-5

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