quotients in C*-algebras

Theorem - Let 𝒜 be a C*-algebra (http://planetmath.org/CAlgebra) and 𝒜 a closed (http://planetmath.org/ClosedSet) ideal. Then the involution (http://planetmath.org/InvolutaryRing) in 𝒜 induces a well-defined involution in 𝒜/ and 𝒜/ is a C*-algebra with this involution and the quotient norm.

Title quotients in C*-algebras
Canonical name QuotientsInCalgebras
Date of creation 2013-03-22 17:41:39
Last modified on 2013-03-22 17:41:39
Owner asteroid (17536)
Last modified by asteroid (17536)
Numerical id 5
Author asteroid (17536)
Entry type Theorem
Classification msc 46L05
Related topic NuclearCAlgebra