Geodesic
Grading of a semigroup $C^*$-algebra by a local group
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 7 (2023), pp. 85-90

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In this paper we consider the grading by a local group of the semigroup $C^\ast$-algebra generated by the free product of abelian semigroups. The simplest of these algebras is the Cuntz-Toeplitz algebra $TO_n$. For such algebras, an abstract version of the Fourier series by the local group is constructed. A number of properties of the "harmonics" of this series are given.
Keywords: semigroup $C^\ast$-algebra, local group, Fell bundle, partial representation. 
@article{IVM_2023_7_a8,
     author = {S. A. Grigoryan and A. Sh. Sharafutdinov},
     title = {Grading of a semigroup $C^*$-algebra by a local group},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {85--90},
     publisher = {mathdoc},
     number = {7},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2023_7_a8/}
}
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S. A. Grigoryan; A. Sh. Sharafutdinov. Grading of a semigroup $C^*$-algebra by a local group. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 7 (2023), pp. 85-90. http://geodesic.mathdoc.fr/item/IVM_2023_7_a8/