This vector uniquely determines the isomorphism class of a finite-dimensional C*-algebra. A is closed under the operation of taking adjoints of operators.Īnother important class of non-Hilbert C*-algebras includes the algebra C 0 ( X ) e is called the dimension vector of A.A is a topologically closed set in the norm topology of operators. A particular case is that of a complex algebra A of continuous linear operators on a complex Hilbert space with two additional properties: In mathematics, specifically in functional analysis, a C ∗-algebra (pronounced "C-star") is a Banach algebra together with an involution satisfying the properties of the adjoint. JSTOR ( February 2013) ( Learn how and when to remove this template message).Unsourced material may be challenged and removed. Please help improve this article by adding citations to reliable sources. This article needs additional citations for verification.
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