منابع مشابه
Crossed products by endomorphisms, vector bundles and group duality, II
We study C*-algebra endomorphims which are special in a weaker sense w.r.t. the notion introduced by Doplicher and Roberts. We assign to such endomorphisms a geometrical invariant, representing a cohomological obstruction for them to be special in the usual sense. Moreover, we construct the crossed product of a C*-algebra by the action of the dual of a (nonabelian, noncompact) group of vector b...
متن کاملGauge-equivariant Hilbert bimodules and crossed products by endomorphisms
C*-algebra endomorphisms arising from superselection structures with non-trivial centre define a ’rank’ and a ’first Chern class’. Crossed products by such endomorphisms involve the Cuntz-Pimsner algebra of a vector bundle having the above-mentioned rank and first Chern class, and can be used to construct a duality for abstract (nonsymmetric) tensor categories vs. group bundles acting on (nonsy...
متن کاملCrossed Products by Endomorphisms, Vector Bundles and Group Duality
We construct the crossed product A ⋊ ρ̂ of a C*-algebra A with centre Z by an endomorphism ρ , which is special in a weaker sense w.r.t. the notion introduced by Doplicher and Roberts; the notation ρ̂ denotes the tensor C*-category of powers of ρ . We assign to ρ a geometrical invariant, representing a cohomological obstruction for it to be special in the usual sense; such invariant determines ra...
متن کاملCrossed Products by Semigroups of Endomorphisms and the Toeplitz Algebras of Ordered Groups
Let I+ be the positive cone in a totally ordered abelian group F. We construct crossed products by actions of J+ as endomorphisms of C*algebras, and give criteria which ensure a given representation of the crossed product is faithful. We use this to prove that the C*-algebras generated by two semigroups V, W: I+ -+ B(H) of nonunitary isometrics are canonically isomorphic, thus giving a new, sel...
متن کاملFixed Subgroups of Endomorphisms of Free Products
Let G = ∗ i=1 Gi and let φ be a symmetric endomorphism of G. If φ is a monomorphism or if G is a finitely generated residually finite group, then the fixed subgroup Fix(φ) = {g ∈ G : φ(g) = g} of φ has Kurosh rank at most n.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Filomat
سال: 2018
ISSN: 0354-5180,2406-0933
DOI: 10.2298/fil1812307c