Spectrum of a C*-Algebra

High Quality Content by WIKIPEDIA articles The spectrum of a C*-algebra or dual of a C*-algebra A, denoted , is the set of unitary equivalence classes of irreducible *-representations of A. A *-representation π of A on a Hilbert space H is irreducible if, and only if, there is no closed subspace K different from H and {0} which is invariant under all operators π(x) with x ∈ A. We implicitly assume that irreducible representation means non-null irreducible representation, thus excluding trivial (i.e. identically 0) representations on one-dimensional spaces. As explained below, the spectrum is also naturally a topological space; this generalizes the notion of the spectrum of a ring.

• Format: Paperback
• Language: English
• ISBN: 5512169459
• ISBN13: 9785512169452
• Release Date: January 1
• Publisher: Book on Demand Ltd.
• Length: 134 Pages
• Weight: 0.37 lbs.
• Dimensions: 0.3" x 5.8" x 8.3"