Results 31 to 40 of about 21,443,625 (160)
We distinguish three classes of capacities on a C*-algebra: subadditive, additive and maxitive. A tightness notion for capacities, the vague and narrow topologies on the set of capacities are introduced. The vague space of additive capacities which are finite on compact projections is a noncommutative version of the usual vague space of Radon measures ...
openaire +4 more sources
On Birkhoff – James and Roberts orthogonality
In this paper we present some recent results on characterizations of the Birkhoff-James and the Roberts orthogonality in C*-algebras and Hilbert C*-modules.
Arambašic Ljiljana, Rajic Rajna
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The C*-algebra of a partial isometry
The universal C*-algebra generated by a partial isometry is a nonunital residually finite dimensional C*-algebra which is not exact. Many unitarily inequivalent partial isometries generating any given finite dimensional full matrix algebra are ...
B. Brenken, Z. Niu
semanticscholar +1 more source
The cone of lower semicontinuous traces on a C*-algebra [PDF]
The cone of lower semicontinuous traces is studied with a view to its use as an invariant. Its properties include compactness, Hausdorffness, and continuity with respect to inductive limits. A suitable notion of dual cone is given.
G. Elliott, L. Robert, Luis Santiago
semanticscholar +1 more source
Abstract This paper investigates the maximal subgroups of a free projection‐generated regular ∗$*$‐semigroup PG(P)${{\textsf {PG}}}(P)$ over a projection algebra P$P$, and their relationship to the maximal subgroups of the free idempotent‐generated semigroup IG(E)${{\textsf {IG}}}(E)$ over the corresponding biordered set E=E(P)$E = {{\textsf {E}}}(P)$.
James East +3 more
wiley +1 more source
ABSTRACT Introduction To address concerns about livestock as a source of antimicrobial‐resistant bacteria and genes, there have been many recent efforts worldwide to study prescribing practices, optimal antibiotic use, and alternatives to antibiotic use.
Wendy Anne Beauvais +5 more
wiley +1 more source
Brief Review of Soft Sets and Its Application in Coding Theory
In this paper, we will focus to one of the recent applications of PU-algebras in the coding theory, namely the construction of codes by soft sets PU-valued functions. First, we shall introduce the notion of soft sets PU-valued functions on PU-algebra and
Samy Mohammed Mostafa +2 more
doaj
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
An amorphic association scheme has the property that any of its fusion is also an association scheme. In this paper we generalize the property to be amorphic to an arbitrary C-algebra and prove that any amorphic C-algebra is determined up to isomorphism by the multiset of its degrees and an additional integer equal 1 or -1.
Ponomarenko, I. N., Rahnamai, Barghi A.
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The K-theory ranks for crossed products of C*-algebras by the group of integers
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
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