Results 21 to 30 of about 96 (96)
Generalized free wreath products and their operator algebras
Abstract We develop a new approach on free wreath products, generalizing the constructions of Bichon and of Fima‐Pittau. We show stability properties for certain approximation properties such as exactness, Haagerup property, hyperlinearity, and K‐amenability. We study qualitative properties of the associated von Neumann algebra: factoriality, primeness,
Pierre Fima, Arthur Troupel
wiley +1 more source
AbstractFor a C∗-algebra A let M(A) denote the two-sided multipliers of A in its enveloping von Neumann algebra. A complete description of M(A) is given in the case where the spectrum of A is Hausdorff. The formula M(A ⊗α B) = M(A) ⊗α M(B) is discussed and examples are given where M(A)A is non-simple even though A is simple and separable.
Akemann, Charles A +2 more
openaire +1 more source
FRAÏSSÉ LIMITS OF C*-ALGEBRAS [PDF]
AbstractWe realize the Jiang-Su algebra, all UHF algebras, and the hyperfinite II1factor as Fraïssé limits of suitable classes of structures. Moreover by means of Fraïssé theory we provide new examples of AF algebras with strong homogeneity properties.
Christopher J. Eagle +5 more
openaire +3 more sources
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
On quasidiagonal $C^*$-algebras
Latex, 45 ...
openaire +3 more sources
$C^*$-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∞)$\alpha ...
Michael Hartglass, Brent Nelson
wiley +1 more source
to appear as a chapter in the Book "K-Theory for Group C*-Algebras and Semigroup C*-Algebras" jointly authored with Joachim Cuntz, Siegfried Echterhoff and Guoliang ...
openaire +2 more sources
On Homomorphisms between C*-Algebras and Linear Derivations on C*-Algebras [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Park, Chun-Gil +3 more
openaire +2 more sources
Tensorial permanence of K$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

