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An Expository Note on Wavelets and Graph \(C^{*}\)-algebras


This article provides an expository review of the relationship between graph \(C^{*}\)-algebras and the wavelet theory. This connection was first established by O. Bratteli and P.E.T. Jorgensen in the late \(90'\)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.

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Correspondence to V. B. Kiran Kumar.

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Communicated by Jaydeb Sarkar.

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Anjali, V.A., Kumar, V.B.K. & Shankar, P. An Expository Note on Wavelets and Graph \(C^{*}\)-algebras. Indian J Pure Appl Math (2022).

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  • Graph \(C^{*}\)-algebras
  • Wavelets
  • Multiresolution Analysis

Mathematics Subject Classification

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  • Secondary