Spectrum of a C*-algebra
id:
spectrum-of-a-c-algebra-201-5758975
title:
Spectrum of a C*-algebra
text:
In mathematics, the spectrum of a C*-algebra or dual of a C*-algebra A, denoted Â, 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) repres
brand slug:
wiki
category slug:
encyclopedia
description:
Mathematical concept
original url:
https://en.wikipedia.org/wiki/Spectrum_of_a_C*-algebra
date created:
date modified:
2024-01-24T20:34:26Z
main entity:
{"identifier":"Q7575320","url":"https://www.wikidata.org/entity/Q7575320"}
image:
fields total:
13
integrity:
14