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Hussin Albahboh: The Gelfand-Naimark Representation of C^*-algebras

Presenter: Hussin Albahboh

Title: The Gelfand-Naimark Representation of C^*-algebras

Abstract: $C^{*}$-algebras is a theory in functional analysis that is morethan eighty years old. Although, it is still an active area of study and research due to its great impact on other areas of mathematics and its applications to theoretical physics. In this talk, I will introduce one of the most important results in this theory, The Gelfand-Naimark Representation of $C^{*}$-algebras. It says that every $C^{*}$-algebra can be regarded as a $C^{*}$-subalgebra of $B(H)$, where $B(H)$ is the $C^{*}$-algebra of bounded linear operators on a Hilbert space $H$. I will go over some definitions and results that are important to present this theorem.

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