• Communications of the Korean Mathematical Society
• /
• v.6 no.2
• /
• pp.283-297
• /
• 1991

• Communications of the Korean Mathematical Society
• /
• v.20 no.4
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• pp.751-763
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• 2005

For a given gauge invariant state $\omega$ on the CAR algebra A isomorphic with the C$\ast$ -algebra of $2{\times}2$ complex matrices, we construct a family of quantum Markov semigroups on A which leave w invariant. By analyzing their generators, we decompose the algebra A into four eigenspaces of the semigroups and show some properties.