ON LEBESGUE TYPE DECOMPOSITION FOR COVARIANT COMPLETELY POSITIVE MAPS ON C*-ALGEBRAS

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JOITA M.

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Journal Paper

Paper Information

Journal: BANACH JOURNAL OF MATHEMATICAL ANALYSIS Year:2010 | Volume:4 | Issue:2 Page(s): 75-86

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Information Journal Paper

Title

ON LEBESGUE TYPE DECOMPOSITION FOR COVARIANT COMPLETELY POSITIVE MAPS ON C*-ALGEBRAS

Author(s)

JOITA M. | Issue Writer Certificate

Keywords

COVARIANT COMPLETELY POSITIVE MAP

RADON–NIKODYM DERIVATIVE

LEBESGUE DECOMPOSITION

Abstract

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, a,A) and u-COVARIANT COMPLETELY POSITIVE MAPs from the crossed product A ×a G to L(H), which preserves the LEBESGUE DECOMPOSITION.

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APA: Copy

JOITA, M.. (2010). ON LEBESGUE TYPE DECOMPOSITION FOR COVARIANT COMPLETELY POSITIVE MAPS ON C*-ALGEBRAS. BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 4(2), 75-86. SID. https://sid.ir/paper/316926/en

Vancouver: Copy

JOITA M.. ON LEBESGUE TYPE DECOMPOSITION FOR COVARIANT COMPLETELY POSITIVE MAPS ON C*-ALGEBRAS. BANACH JOURNAL OF MATHEMATICAL ANALYSIS[Internet]. 2010;4(2):75-86. Available from: https://sid.ir/paper/316926/en

IEEE: Copy

M. JOITA, “ON LEBESGUE TYPE DECOMPOSITION FOR COVARIANT COMPLETELY POSITIVE MAPS ON C*-ALGEBRAS,” BANACH JOURNAL OF MATHEMATICAL ANALYSIS, vol. 4, no. 2, pp. 75–86, 2010, [Online]. Available: https://sid.ir/paper/316926/en

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