Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On vector-valued characters for noncommutative function algebras   Let A be a closed subalgebra of a C*-algebra, that is a closed algebra of
Hilbert space operators. We generalize to such operator algebras $A$ several
key theorems and concepts from the theory of classical function algebras. In
particular we consider several problems that arise when generalizing classical
function algebra results involving characters ((contractive) homomorphisms into
the scalars) on the algebra. For example, the Jensen inequality, the related
Bishop-Ito-Schreiber theorem, and the theory of Gleason parts. We will usually
replace characters (classical function algebra case) by D-characters, certain
completely contractive homomorphisms $\Phi : A \to D$, where D is a
C*-subalgebra of A. We also consider some D-valued variants of the classical
Gleason-Whitney theorem.

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The categories of this paper are: hep-ph
17
The categories of this paper are: q-fin
21
The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat
29
The categories of this paper are: funct-an
32
The categories of this paper are: atom-ph
23
The categories of this paper are: solv-int
7
The categories of this paper are: hep-th
24
The categories of this paper are: dg-ga
8
The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th
31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom
20
The categories of this paper are: acc-phys
33
The categories of this paper are: plasm-ph