Korean J. Math. Vol. 26 No. 4 (2018) pp.799-808
DOI: https://doi.org/10.11568/kjm.2018.26.4.799

Triple centralizers of ${{C}^{*}}$-algebras

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Published: Dec 30, 2018
Keywords:
Triple centralizer, Multiplier algebra, $C{^*}$-algebra.
Mathematics Subject Classification:
47C15, 43A22, 42A45.

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Seyed Mohammad Davarpanah
Department of Mathematics Ferdows Branch Islamic Azad University Ferdows, Iran.
Mohsen Erfanian Omidvar
Department of Mathematics Mashhad Branch Islamic Azad University Mashhad, Iran.
hamid reza moradi
Department of Mathematics Mashhad Branch Islamic Azad University Mashhad, Iran.

Abstract

In this paper, we extend the concept of double centralizer to triple centralizer and we show that, the triple centralizer is a $C{^*}$-algebra. Some algebraic properties are investigated.


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References

[1] R.C. Busby, Double centralizers and extensions of C∗-algebras.Transactions of the American Mathematical Society (1968): 79-99. Google Scholar

[2] C. L. Chuang and T. K. Lee, The double centralizer theorem for semiprime algebras. Algebras and Representation Theory, 17(4) (2014): 1277-1288. Google Scholar

[3] M. E. Gordji, M. Ramezani, A. Ebadian, and C. Park, Quadratic double centralizers and quadratic multipliers. Annali dell’universita’di ferrara, 57(1) (2011): 27-38. Google Scholar

[4] B. E. Johnson, An introduction to the theory of centralizers. Proceedings of the London Mathematical Society 3(2) (1964): 299-320. Google Scholar

[5] G. Hochschild, Cohomology and representations of associative algebras. Duke Math. J 14(4) (1947): 921-948. Google Scholar

[6] M. S. Moslehian, F. Rahbarnia, and P. K. Sahoo. Approximate double centeralizers are exact double centeralizers. Bol. Soc. Mat. Mexicana 3 (2007): 111-122. Google Scholar

[7] G. J. Murphy, C∗-algebras and operator theory, Academic Press, Inc. 1990. Google Scholar