منابع مشابه
Crossed Products of Operator Algebras: Applications of Takai Duality
Let (G,Σ) be an ordered abelian group with Haar measure μ, let (A,G, α) be a dynamical system and let A oα Σ be the associated semicrossed product. Using Takai duality we establish a stable isomorphism Aoα Σ ∼s ( A⊗K(G,Σ, μ) ) oα⊗Ad ρ G, where K(G,Σ, μ) denotes the compact operators in the CSL algebra AlgL(G,Σ, μ) and ρ denotes the right regular representation of G. We also show that there exis...
متن کاملCrossed products of restricted enveloping algebras
Let K be a eld of characteristic p > 0, let L be a restricted Lie algebra and let R be an associative K-algebra. It is shown that the various constructions in the literature of crossed product of R with u(L) are equivalent. We calculate explicit formulae relating the parameters involved and obtain a formula which hints at a noncommutative version of the Bell polynomials. Crossed products of gro...
متن کاملCrossed Products of Locally C-algebras
The crossed products of locally C-algebras are defined and a Takai duality theorem for inverse limit actions of a locally compact group on a locally C-algebra is proved. 2000 AMS Mathematics subject classification. Primary 46L05, 46L55.
متن کاملFull Crossed Products by Hopf C∗-algebras
We show that when a co-involutive Hopf C *-algebra S coacts via δ on a C *-algebra A, there exists a full crossed product A × δ S, with universal properties analogous to those of full crossed products by locally compact groups. The dual Hopf C *-algebra is then defined byˆS := C × id S.
متن کاملDiagonals in Tensor Products of Operator Algebras
In this paper we give a short, direct proof, using only properties of the Haagerup tensor product, that if an operator algebra A possesses a diagonal in the Haagerup tensor product of A with itself, then A must be isomorphic to a finite dimensional C∗-algebra. Consequently, for operator algebras, the first Hochschild cohomology group, H(A, X) = 0 for every bounded, Banach A-bimodule X , if and ...
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: Memoirs of the American Mathematical Society
سال: 2019
ISSN: 0065-9266,1947-6221
DOI: 10.1090/memo/1240