The Picard groups for unital inclusions of unital C^*-algebras
classification
🧮 math.OA
keywords
picardalgebrasunitalgroupshallgroupsinclusioninclusions
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We shall introduce the notion of the Picard group for an inclusion of $C^*$-algebras. We shall also study its basic properties and the relation between the Picard group for an inclusion of $C^*$-algebras and the ordinary Picard group. Furthermore, we shall give some examples of the Picard groups for unital inclusions of unital $C^*$-algebras.
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