22 citations · 53 across the 16 of their papers we have counts for
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Aperiodic automorphisms of the Razak--Jacelon algebra
Norio Nawata
We completely classify aperiodic automorphisms of the Razak--Jacelon algebra up to outer conjugacy. As a technical ingredient, based on the works of Connes, Herman--O…
-absorbing actions of finite groups on the Razak-Jacelon algebra
Norio Nawata
We say that a countable discrete group action on a C-algebra is \textit{-absorbing} if there exist a C-algebra and an action on such that $…
Strongly outer actions of certain torsion-free amenable groups on the Razak-Jacelon algebra
Norio Nawata
Let be the smallest class of countable discrete groups with the following properties: (i) contains the trivial group, (ii) is closed un…
Approximate representability of finite abelian group actions on the Razak-Jacelon algebra
Norio Nawata
Let be a simple separable nuclear monotracial C-algebra, and let be an outer action of a finite abelian group on . In this paper, we show that $α\otimes \mathrm{…
Equivariant Kirchberg-Phillips type absorption for the Razak-Jacelon algebra
Norio Nawata
Let and be simple separable nuclear monotracial C-algebras, and let and be strongly outer actions of a countable discrete amenable group on and , res…
A characterization of the Razak-Jacelon algebra
Norio Nawata
Combining Elliott, Gong, Lin and Niu's result and Castillejos and Evington's result, we see that if is a simple separable nuclear monotracial C-algebra, then $A\otimes\math…
Rohlin actions of finite groups on the Razak-Jacelon algebra
Norio Nawata
Let be a simple separable nuclear C-algebra with a unique tracial state and no unbounded traces, and let be a strongly outer action of a finite group on . In thi…
Trace scaling automorphisms of the stabilized Razak-Jacelon algebra
Norio Nawata
We classify trace scaling automorphisms of up to outer conjugacy, where is a certain simple separable nuclear stably projectionless C$^…
Finite group actions on certain stably projectionless C*-algebras with the Rohlin property
Norio Nawata
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 e…
Picard groups of certain stably projectionless C*-algebras
Norio Nawata
We compute Picard groups of several nuclear and non-nuclear simple stably projectionless C*-algebras. In particular, the Picard group of Razak-Jacelon algebra W_2 is isomorphic to…
A note on trace scaling actions and fundamental groups of -algebras
Norio Nawata
Using Effros-Handelman-Shen theorem and Elliott's classification theorem of AF algebras, we show that there exists a unital simple AF algebra A with unique trace such that $A\otime…
Fundamental group of simple -algebras with unique trace III
Norio Nawata
We introduce the fundamental group F(A) of a simple -unital -algebra with unique (up to scalar multiple) densely defined lower semicontinuous trace. This is a generaliz…
Fundamental group of simple -algebras with unique trace II
Norio Nawata, Yasuo Watatani
We show that any countable subgroup of the multiplicative group of positive real numbers can be realized as the fundamental group of a sepa…
-algebras associated with real multiplication
Norio Nawata
Noncommutative tori with real multiplication are the irrational rotation algebras that have special equivalence bimodules. Y. Manin proposed the use of noncommutative tori with rea…
Fundamental group of simple -algebras with unique trace
Norio Nawata, Yasuo Watatani
We introduce the fundamental group of a unital simple -algebra with a unique normalized trace. We compute fundamental groups of several…
Morita equivalent subalgebras of irrational rotation algebras and real quadratic fields
Norio Nawata
In this paper, we determine the isomorphic classes of Morita equivalent subalgebras of irrational rotation algebras. It is based on the solution of the quadratic Diophantine equati…