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- W4328139168 abstract "We systematically investigate $C^*$-norms on the algebraic graded product of $mathbb{Z}_2$-graded $C^*$-algebras. This requires to single out the notion of a compatible norm, that is a norm with respect to which the product grading is bounded. We then focus on the spatial norm proving that it is minimal among all compatible $C^*$-norms. To this end, we first show that commutative $mathbb{Z}_2$-graded $C^*$-algebras enjoy a nuclearity property in the category of graded $C^*$-algebras. In addition, we provide a characterization of the extreme even states of a given graded $C^*$-algebra in terms of their restriction to its even part." @default.
- W4328139168 created "2023-03-22" @default.
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- W4328139168 date "2021-12-07" @default.
- W4328139168 modified "2023-10-18" @default.
- W4328139168 title "On $C^*$-norms on $mathbb{Z}_2$-graded tensor products" @default.
- W4328139168 doi "https://doi.org/10.48550/arxiv.2112.03988" @default.
- W4328139168 hasPublicationYear "2021" @default.
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