Quantum symmetries in noncommutative C*-systems
Marciniak, Marcin
Banach Center Publications, Tome 43 (1998), p. 297-307 / Harvested from The Polish Digital Mathematics Library
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We introduce the notion of a completely quantum C*-system (A,G,α), i.e. a C*-algebra A with an action α of a compact quantum group G. Spectral properties of completely quantum systems are investigated. In particular, it is shown that G-finite elements form the dense *-subalgebra of A. Furthermore, properties of ergodic systems are studied. We prove that there exists a unique α-invariant state ω on A. Its properties are described by a family of modular operators σzz∈ℂ acting on . It turns out that ω is a KMS state provided that ω is faithful.

Publié le : 1998-01-01
EUDML-ID : urn:eudml:doc:208850 
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     title = {Quantum symmetries in noncommutative C*-systems},
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     year = {1998},
     pages = {297-307},
     zbl = {0927.46051},
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Marciniak, Marcin. Quantum symmetries in noncommutative C*-systems. Banach Center Publications, Tome 43 (1998) pp. 297-307. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-bcpv43i1p297bwm/

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