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arXiv · 2006.13487

The Picard groups of unital inclusions of unital $C^*$-algebras induced by involutive equivalence bimodules

Kazunori Kodaka
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Abstract

Let $A$ be a unital $C^*$-algebra and $X$ an invulutive $A-A$-equivalence bimodule. Let $A\subset C_X$ be the unital inclusion of unital $C^*$-algebras induced by $X$. We suppose that $A' \cap C_X =\mathbf{C} 1$. We shall compute the Picard group of the unital inclusion $A\subset C_X$.

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Kazunori Kodaka. 2020-06-24. The Picard groups of unital inclusions of unital $C^*$-algebras induced by involutive equivalence bimodules. https://arxiv.org/abs/2006.13487

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