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pro vyhledávání: '"Nawata, Norio"'
Autor:
Nawata, Norio
We say that a countable discrete group action $\alpha$ on a C$^*$-algebra $A$ is \textit{$\mathcal{W}$-absorbing} if there exist a C$^*$-algebra $B$ and an action $\beta$ on $B$ such that $\alpha$ is cocycle conjugate to $\beta\otimes \mathrm{id}_{\m
Externí odkaz:
http://arxiv.org/abs/2410.11213
Autor:
Nawata, Norio
Let $\mathfrak{C}$ be the smallest class of countable discrete groups with the following properties: (i) $\mathfrak{C}$ contains the trivial group, (ii) $\mathfrak{C}$ is closed under isomorphisms, countable increasing unions and extensions by $\math
Externí odkaz:
http://arxiv.org/abs/2309.00934
Autor:
Nawata, Norio
Let $A$ be a simple separable nuclear monotracial C$^*$-algebra, and let $\alpha$ be an outer action of a finite abelian group $\Gamma$ on $A$. In this paper, we show that $\alpha\otimes \mathrm{id}_{\mathcal{W}}$ on $A\otimes\mathcal{W}$ is approxim
Externí odkaz:
http://arxiv.org/abs/2302.10550
Autor:
Nawata, Norio
Let $A$ and $B$ be simple separable nuclear monotracial C$^*$-algebras, and let $\alpha$ and $\beta$ be strongly outer actions of a countable discrete amenable group $\Gamma$ on $A$ and $B$, respectively. In this paper, we show that $\alpha\otimes\ma
Externí odkaz:
http://arxiv.org/abs/2109.13151
Autor:
Nawata, Norio
Publikováno v:
Analysis & PDE 16 (2023) 1799-1824
Combining Elliott, Gong, Lin and Niu's result and Castillejos and Evington's result, we see that if $A$ is a simple separable nuclear monotracial C$^*$-algebra, then $A\otimes\mathcal{W}$ is isomorphic to $\mathcal{W}$ where $\mathcal{W}$ is the Raza
Externí odkaz:
http://arxiv.org/abs/2008.10235
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Autor:
Nawata, Norio
Let $A$ be a simple separable nuclear C$^*$-algebra with a unique tracial state and no unbounded traces, and let $\alpha$ be a strongly outer action of a finite group $G$ on $A$. In this paper, we show that $\alpha\otimes \mathrm{id}$ on $A\otimes\ma
Externí odkaz:
http://arxiv.org/abs/1905.09469
Autor:
Nawata, Norio
We classify trace scaling automorphisms of $\mathcal{W}\otimes\mathbb{K}$ up to outer conjugacy, where $\mathcal{W}$ is a certain simple separable nuclear stably projectionless C$^*$-algebra having trivial $K$-groups. Also, we show that all automorph
Externí odkaz:
http://arxiv.org/abs/1704.02414
Autor:
Nawata, Norio
We introduce the Rohlin property and the approximate representability for finite group actions on stably projectionless C*-algebras and study their basic properties. We give some examples of finite group actions on the Razak-Jacelon algebra and show
Externí odkaz:
http://arxiv.org/abs/1308.0429