Positive Linear Maps on Operator Algebras

Evans, David E.

doi:10.1007/BF01609408

Positive Linear Maps on Operator Algebras

David E. Evans
(
- Dublin Inst.
)

Jan, 1976

13 pages

Published in:

Commun.Math.Phys. 48 (1976) 15-22

DOI:

10.1007/BF01609408

Report number:

DIAS-TP-75-39

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Abstract: (Springer)

Given a family of completely positive maps, indexed by a group, from aC*-algebra into itself, we are concerned with its dilation to a group of *-automorphisms on a larger algebra. A Schwarz-type inequality forn-positive *-linear mappings from an involutive algebra into the bounded linear operators on a hilbert space is obtained. Strongly continuous one-parameter semigroups and groups onC*-algebras, which have certain positivity properties, are studied.

GROUP THEORY
ALGEBRA: C*
ALGEBRA: OPERATOR ALGEBRA
linear space

References(5)

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- Acta Math. 123 141

Markovian master equations

E.B. Davies

- Commun.Math.Phys. 39 (1974) 2, 91-110
•
DOI:
- 10.1007/BF01608389

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Göran Lindblad

- Commun.Math.Phys. 40 (1975) 2, 147-151
•
DOI:
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- Proc.Am.Math.Soc. 6 211

- Pacific J.Math. 47 257