Results 41 to 50 of about 21,443,625 (160)

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

open access: yesBulletin 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

$C^*$-algebra distance filters [PDF]

open access: yesAdvances in Operator Theory, 2018
We use non-symmetric distances to give a self-contained account of C*-algebra filters and their corresponding compact projections, simultaneously simplifying and extending their general theory.
Bice, Tristan, Vignati, Alessandro
openaire   +6 more sources

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

open access: yesBulletin 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

On Homomorphisms between C*-Algebras and Linear Derivations on C*-Algebras [PDF]

open access: yesCzechoslovak Mathematical Journal, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Park, Chun-Gil   +3 more
openaire   +2 more sources

Quantum metric spaces of quantum maps

open access: yesUniversal 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

open access: yesBulletin 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

On quasidiagonal $C^*$-algebras

open access: yesAdvanced Studies in Pure Mathematics, 2019
Latex, 45 ...
openaire   +3 more sources

Analysis of Fundamental Algebraic Concepts and Information Security System

open access: yesNoumerico
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

open access: yesAnnals 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

open access: yesJournal 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   +4 more
wiley   +1 more source

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