MODULES OVER MONOTONE COMPLETE C*-ALGEBRAS
1992 ◽
Vol 03
(02)
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pp. 185-204
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The main result asserts that given two monotone complete C*-algebras A and B, B is faithfully represented as a monotone closed C*-subalgebra of the monotone complete C*-algebra End A(X) consisting of all bounded module endomorphisms of some self-dual Hilbert A-module X if and only if there are sufficiently many normal completely positive maps of B into A. The key to the proof is the fact that each pre-Hilbert A-module can be completed uniquely to a self-dual Hilbert A-module.
2013 ◽
Vol 50
(1)
◽
pp. 61-80
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Keyword(s):
Keyword(s):
Strict Completely Positive Maps between Locally C * -Algebras and Representations on Hilbert Modules
2002 ◽
Vol 66
(2)
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pp. 421-432
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Keyword(s):
2010 ◽
Vol 4
(2)
◽
pp. 75-86
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2013 ◽
Vol 16
(04)
◽
pp. 1350031
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Keyword(s):
2004 ◽
Vol 15
(03)
◽
pp. 289-312
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2004 ◽
Vol 70
(1)
◽
pp. 101-116
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Keyword(s):
Keyword(s):