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
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]
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
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∞)$\alpha ...
Michael Hartglass, Brent Nelson
wiley +1 more source
On Homomorphisms between C*-Algebras and Linear Derivations on C*-Algebras [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Park, Chun-Gil +3 more
openaire +2 more sources
Quantum metric spaces of quantum maps
We show that any quantum family of quantum maps from a noncommutative space to a compact quantum metric space has a canonical quantum pseudo-metric structure.
Maysam Maysami Sadr
doaj +1 more source
Tensorial permanence of K$K$‐stability for diagonal AH‐algebras
Abstract We study K$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
Latex, 45 ...
openaire +3 more sources
Analysis of Fundamental Algebraic Concepts and Information Security System
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
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
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

