论文标题

由参与等价二型的Unital $ c^*$的Unital $ c^*$ - 代数的Picard组组

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

论文作者

Kodaka, Kazunori

论文摘要

令$ a $为UNITAL $ C^*$ - 代数和$ x $无敌$ a-a $ quivalence bimodule。令$ a \ subset c_x $为Unital $ c^*$ - 由$ x $引起的代数。我们假设$ a'\ cap c_x = \ mathbf {c} 1 $。我们将计算Unital包含$ A \子集C_X $的PICARD组。

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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