Results 91 to 100 of about 14,642,230 (161)
Inclusions of simple C* -algebras [PDF]
Journal für die reine und angewandte Mathematik (Crelles Journal), 2002 We prove that if a conditional expectation from a simple $C^*$-algebra onto its $C^*$-subalgebra satisfies the Pimsner-Popa inequality, there exists a quasi-basis. As an application, we establish the Galois correspondence for outer actions of finite groups (and more generally finite dimensional Kac algebras) on simple $C^*$-algebras.
openaire +2 more sources
Boundary Algebra: A Simple Notation for Boolean Algebra and the Truth Functors [PDF]
Boundary algebra [BA] is a simpler notation for Spencer-Brown’s (1969) primary algebra [pa], the Boolean algebra 2, and the truth functors. The primary arithmetic [PA] consists of the atoms ‘()’ and the blank page, concatenation, and enclosure between ‘(‘
Philip Meguire
core
Representations of the marked Brauer algebra [PDF]
, 2017 The marked Brauer algebra is a generalization of the diagrammatic Brauer algebra which diagrammatizes Moon's centralizer algebra for the type \mathfrak{p} Lie superalgebra.
Tharp, Benjiman
core
Decompositions of a C-algebra [PDF]
, 2006 We prove that if A is a C-algebra, then for each a∈A, Aa={x∈A/x≤a} is itself a C-algebra and is isomorphic to the quotient algebra A/θa of A where θa={(x,y)∈A×A/a∧x=a∧y}.
G. C. Rao, P. Sundarayya
core +1 more source
A Cartan-Eilenberg approach to Homotopical Algebra
, 2010 In this paper we propose an approach to homotopical algebra where the basic ingredient is a category with two classes of distinguished morphisms: strong and weak equivalences.
Navarro, Vicenç (Navarro Aznar) +8 more
core +1 more source
MATHEMATICA SCANDINAVICA, 2010 We investigate relations on elements in $C^{*}$-algebras, including $*$-polynomial relations, order relations and all relations that correspond to universal $C^{*}$-algebras. We call these $C^{*}$-relations and define them axiomatically. Within these are the compact $C^{*}$-relations, which are those that determine universal $C^{*}$-algebras, and we ...
openaire +3 more sources
Semantic Constructions for Hidden Algebra
, 1998 Hidden algebra is a behavioural algebraic specification formalism for objects. It captures their constructional aspect, concerned with the initialisation and evolution of their states, as well as their observational aspect, concerned with the observable ...
Cirstea, Corina
core
Root vectors of the composition algebra of the Kronecker algebra
, 2004 According to the canonical isomorphism between the positive part Uq⁺(g) of the Drinfeld–Jimbo quantum group Uq(g) and the generic composition algebra C(∆) of Λ, where the Kac–Moody Lie algebra g and the finite dimensional hereditary algebra Λ have ...
Chen, X.
core
On an algebra associated to a ternary cubic curve
, 2014 In this paper we construct an algebra associated to a cubic curve C defined over a field F of characteristic not two or three. We prove that this algebra is an Azumaya algebra of rank nine.
Kuo, Jung-Miao
core +1 more source