منابع مشابه
Purely infinite partial crossed products
Let (A, G, alpha) be a partial dynamical system. We show that there is a bijective corespondence between Ginvariant ideals of A and ideals in the partial crossed prroduct A xalpha, r G provided the action is exact and residually topologically free.
متن کاملCharacterisations of Crossed Products by Partial Actions
Partial actions of discrete groups on C∗-algebras and the associated crossed products have been studied by Exel and McClanahan. We characterise these crossed products in terms of the spectral subspaces of the dual coaction, generalising and simplifying a theorem of Exel for single partial automorphisms. We then use this characterisation to identify the Cuntz algebras and the Toeplitz algebras o...
متن کاملCrossed Product Decompositions of a Purely Infinite Von Neumann Algebra with Faithful, Almost Periodic Weight
For M a separable, purely infinite von Neumann algebra with almost periodic weight φ, a decomposition of M as a crossed product of a semifinite von Neumann algebra by a trace–scaling action of a countable abelian group is given. Then Takasaki’s continuous decomposition of the same algebra is related to the above discrete decomposition via Takesaki’s notion of induced action, but here one induce...
متن کاملCrossed Products by Twisted Partial Actions and Graded Algebras
For a twisted partial action Θ of a group G on an (associative nonnecessarily unital) algebra A over a commutative unital ring k, the crossed product A⋊ΘG is proved to be associative. Given a G-graded k-algebra B = ⊕g∈GBg with the mild restriction of homogeneous non-degeneracy, a criteria is established for B to be isomorphic to the crossed product B1⋊ΘG for some twisted partial action of G on ...
متن کاملAssociativity of Crossed Products by Partial Actions, Enveloping Actions and Partial Representations
Given a partial action α of a group G on an associative algebra A, we consider the crossed product A α G. Using the algebras of multipliers, we generalize a result of Exel (1997) on the associativity of A α G obtained in the context of C∗-algebras. In particular, we prove that A αG is associative, provided that A is semiprime. We also give a criterion for the existence of a global extension of ...
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: Journal of Functional Analysis
سال: 2014
ISSN: 0022-1236
DOI: 10.1016/j.jfa.2014.02.025