quotients in $C^{*}$-algebras

Let $\mathcal{A}$ be a $C^{*}$-algebra (http://planetmath.org/CAlgebra) and $\mathcal{I}\subseteq\mathcal{A}$ a closed (http://planetmath.org/ClosedSet) ideal. Then the involution (http://planetmath.org/InvolutaryRing) in $\mathcal{A}$ induces a well-defined involution in $\mathcal{A}/\mathcal{I}$ and $\mathcal{A}/\mathcal{I}$ is a $C^{*}$-algebra with this involution and the quotient norm.

Title quotients in $C^{*}$-algebras QuotientsInCalgebras 2013-03-22 17:41:39 2013-03-22 17:41:39 asteroid (17536) asteroid (17536) 5 asteroid (17536) Theorem msc 46L05 NuclearCAlgebra