# A FAMILY OF QUANTUM MARKOV SEMIGROUPS

Ahn, Sung-Ki;Ko, Chul-Ki;Pyung, In-Soo

• Published : 2005.10.01
• 42 4

#### Abstract

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.

#### Keywords

quantum Markov semigroups;quasi-free states;CAR algebras

#### References

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