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The Picard groups for unital inclusions of unital C*-algebras

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Abstract

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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Communicated by L. Molnár

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The author wishes to thank the referee for many valuable suggestions for the improvement of the manuscript.

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Kodaka, K. The Picard groups for unital inclusions of unital C*-algebras. ActaSci.Math. 86, 183–207 (2020). https://doi.org/10.14232/actasm-019-271-1

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