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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2021, Volume 313, Pages 131–142
DOI: https://doi.org/10.4213/tm4171 (Mi tm4171) 		 
This article is cited in 4 scientific papers (total in 4 papers)

On Graded Semigroup $C^*$-Algebras and Hilbert Modules

E. V. Lipacheva

Kazan State Power Engineering University, Krasnoselskaya ul. 51, Kazan, 420066 Russia
Full-text PDF (212 kB) Citations (4)
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DOI: https://doi.org/10.4213/tm4171
Abstract: Reduced semigroup $C^*$-algebras for arbitrary cancellative semigroups are studied. It is proved that if there exists a semigroup epimorphism from a semigroup to an arbitrary group $G$, then the corresponding semigroup $C^*$-algebra is topologically $G$-graded. It is also demonstrated that if the group is finite, then the graded semigroup $C^*$-algebra has the structure of a projective Hilbert $C^*$-module.
Received: July 31, 2020
Revised: September 27, 2020
Accepted: December 12, 2020
English version:
Proceedings of the Steklov Institute of Mathematics, 2021, Volume 313, Pages 120–130
DOI: https://doi.org/10.1134/S0081543821020127
Bibliographic databases:
Document Type: Article
UDC: 517.986
Language: Russian
Citation: E. V. Lipacheva, “On Graded Semigroup $C^*$-Algebras and Hilbert Modules”, Mathematics of Quantum Technologies, Collected papers, Trudy Mat. Inst. Steklova, 313, Steklov Math. Inst., Moscow, 2021, 131–142; Proc. Steklov Inst. Math., 313 (2021), 120–130
Citation in format AMSBIB
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\vol 313
\pages 131--142
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    • This publication is cited in the following 4 articles:
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
     
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