Simple Search

Query:

Enter a query and click »Search«...

Format:

Display: entries per page entries

Zbl 1201.46050
Joiţa, Maria
A note on Lebesgue type decomposition for covariant completely positive maps on $C^*$-algebras. (English)
[J] Banach J. Math. Anal. 4, No. 2, 75-86, electronic only (2010). ISSN 1735-8787/e

Summary: We show that there is an affine order isomorphism between completely positive maps from a $C^*$-algebra A to the $C^*$-algebra $L(H)$ of all bounded linear operators on a Hilbert space $H$, $u$-covariant with respect to a $C^*$-dynamical system $(G, \alpha , A)$ and $u$-covariant completely positive maps from the crossed product $A\times \alpha G$ to $L(H)$, which preserves the Lebesgue decomposition.

MSC 2000:: *46L05 General theory of C*-algebras
46L51 Noncommutative measure and integration
46L40 Automorphisms of C*-algebras
46L55 Noncommutative dynamical systems

Keywords: covariant completely positive map; Radon-Nikodým derivative; Lebesgue decomposition

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Article Journal Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Simple Search

Zentralblatt MATH Berlin [Germany]