K. Kodaka

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20062021

most citedInvolutive equivalence bimodules and inclusions of C*-algebras with Watatani index 2

8 citations · 12 across the 9 of their papers we have counts for

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math.OA2021

Strong Morita equivalences for completely positive linear maps and GNS-C*-correspondences

Kazunori Kodaka

We will consider the set of all completely positive linear maps from a unital $C^{*}$ -algebra to the $C^{*}$ -algebra of all (bounded) adjointable right Hilbert $C^{*}$ -module maps, which…

math.OA2021

Fell bundles over a countable discrete group and strong Morita equivalence for inclusions of $C^{*}$ -algebras

Kazunori Kodaka

We consider two saturated Fell bundles over a countable discrete group, whose unit fibers are $σ$ -unital $C^{*}$ -algebras. Then by taking the reduced cross-sectional $C^{*}$ -algebras,…

math.OA2021

Strong Morita equivalence for completely positive linear maps on $C^{*}$ -algebras

Kazunori Kodaka

We will introduce the notion of strong Morita equivalence for completely positive linear maps and study its basic properties. Also, we will discuss the relation between strong Mori…

math.OA2020

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

Kazunori Kodaka

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 t…

math.OA2020

Bimodule maps from a unital $C^{}$ -algebra to its $C^{}$ -subalgebra and strong Morita equivalence

Kazunori Kodaka

Let $A \subset C$ and $B \subset D$ be unital inclusions of unital $C^{*}$ -algebras. Let $_{A} B_{A} (C, A)$ (resp. $_{B} B_{B} (D, B)$ ) be the space of all bounded $A$ …

math.OA2019

The Picard groups of inclusions of $C^{*}$ -algebras induced by equivalence bimodules

Kazunori Kodaka

Let $A$ and $B$ be $σ$ -unital $C^{*}$ -algebras and $X$ and $Y$ an $A - A$ -equivalence bimodule and a $B - B$ -equivalence bimodule, respectively. Also, let $A ⋊_{X} Z$ and $B\…

Strong Morita equivalences for completely positive linear maps and GNS-C*-correspondences

Fell bundles over a countable discrete group and strong Morita equivalence for inclusions of C∗-algebras

Strong Morita equivalence for completely positive linear maps on C∗-algebras

The Picard groups of unital inclusions of unital C∗-algebras induced by involutive equivalence bimodules

Bimodule maps from a unital C∗-algebra to its C∗-subalgebra and strong Morita equivalence

The Picard groups of inclusions of C∗-algebras induced by equivalence bimodules

Fell bundles over a countable discrete group and strong Morita equivalence for inclusions of $C^{*}$ -algebras

Strong Morita equivalence for completely positive linear maps on $C^{*}$ -algebras

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

Bimodule maps from a unital $C^{}$ -algebra to its $C^{}$ -subalgebra and strong Morita equivalence

The Picard groups of inclusions of $C^{*}$ -algebras induced by equivalence bimodules