Results 21 to 30 of about 66 (66)

The K-theory ranks for crossed products of C*-algebras by the group of integers

Cubo, 2019
We study the K-theory ranks for crossed products of C∗-algebras by the group of integers. As an application, we obtain certain estimates for the K-theory ranks of the group C∗-algebras of torsion free, finitely generated, nilpotent or solvable discrete ...
Takahiro Sudo
doaj   +1 more source

Algebraic singular functions are not always dense in the ideal of C∗$C^*$‐singular functions

Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.
Abstract We give the first examples of étale (non‐Hausdorff) groupoids G$\mathcal {G}$ whose C∗$C^*$‐algebras contain singular elements that cannot be approximated by singular elements in Cc(G)$\mathcal {C}_c(\mathcal {G})$. We provide two examples: one is a bundle of groups and the other a minimal and effective groupoid constructed from a self‐similar
Diego Martínez, Nóra Szakács
wiley   +1 more source

Uniqueness of extremal almost periodic states on the injective type III1$\mathrm{III}_1$ factor

Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.
Abstract Let R∞$R_\infty$ denote the Araki–Woods factor—the unique separable injective type III1$\mathrm{III}_1$ factor. For extremal almost periodic states φ,ψ∈(R∞)∗$\varphi, \psi \in (R_\infty)_*$, we show that if Δφ$\Delta _\varphi$ and Δψ$\Delta _\psi$ have the same point spectrum, then ψ=φ∘α$\psi = \varphi \circ \alpha$ for some α∈Aut(R∞)$\alpha ...
Michael Hartglass, Brent Nelson
wiley   +1 more source

Quantum metric spaces of quantum maps

Universal Journal of Mathematics and Applications, 2018
We show that any quantum family of quantum maps from a noncommutative space to a compact quantum metric space has a canonical quantum pseudo-metric structure.
Maysam Maysami Sadr
doaj   +1 more source

Tensorial permanence of K$K$‐stability for diagonal AH‐algebras

Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.
Abstract We study K$K$‐stability for tensor products of diagonal AH‐algebras with arbitrary C*‐algebras. Our main result provides a characterization of K$K$‐stability: For a diagonal AH‐algebra A=lim→(Ai,φi)$A = \varinjlim (A_i, \varphi _i)$, A⊗B$A \otimes B$ is K$K$‐stable for every C*‐algebra B$B$ if and only if the sizes of the matrix blocks in the ...
Apurva Seth
wiley   +1 more source

Analysis of Fundamental Algebraic Concepts and Information Security System

Noumerico
Cryptography plays a crucial role in protecting the data from unauthorized access. Nowadays, various cryptographic algorithms are used. It is not meant for information technology to secure the proposed work's primary target to achieve these tasks and ...
S M Nazmuz Sakib
doaj   +1 more source

Smarandache N-subalgebras(resp. filters) of CI-algebras

Annals of the West University of Timisoara: Mathematics and Computer Science, 2014
In this paper, we introduce the notions of N- subalgebras and N-filters based on Smarandache CI-algebra and give a number of their properties.
Rezaei Akbar, Saeid Arsham Borumand
doaj   +1 more source

Manifestly unitary higher Hilbert spaces

Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.
Abstract Higher idempotent completion gives a formal inductive construction of the n$n$‐category of finite‐dimensional n$n$‐vector spaces starting with the complex numbers. We propose a manifestly unitary construction of low‐dimensional higher Hilbert spaces, formally constructing the C∗$\mathrm{C}^*$‐3‐category of 3‐Hilbert spaces from Baez's 2 ...
Quan Chen, Giovanni Ferrer, Brett Hungar, David Penneys, Sean Sanford   +4 more
wiley   +1 more source

The Global Glimm Property for C*‐algebras of topological dimension zero

Bulletin of the London Mathematical Society, Volume 58, Issue 4, April 2026.
Abstract We show that a C∗$C^*$‐algebra with topological dimension zero has the Global Glimm Property (every hereditary subalgebra contains an almost full nilpotent element) if and only if it is nowhere scattered (no hereditary subalgebra admits a finite‐dimensional representation). This solves the Global Glimm Problem in this setting.
Ping Wong Ng, Hannes Thiel, Eduard Vilalta   +2 more
wiley   +1 more source

Some metric characterizations of commutativity in C*-algebras [PDF]

Surveys in Mathematics and its Applications
We study Le Page's theorem in the context of C*-algebras and obtain several characterizations of commutativity and centrality implied by identities or inequalities satisfied by the norm.
Florin Pop
doaj