Entire cyclic homology of stable continuous trace algebras
نویسندگان
چکیده
منابع مشابه
Entire Cyclic Homology of Stable Continuous Trace Algebras
A central result here is the computation of the entire cyclic homology of canonical smooth subalgebras of stable continuous trace C∗-algebras having smooth manifolds M as their spectrum. More precisely, the entire cyclic homology is shown to be canonically isomorphic to the continuous periodic cyclic homology for these algebras. By an earlier result of the authors, one concludes that the entire...
متن کاملEndomorphisms of stable continuous-trace C-algebras
We classify spectrum-preserving endomorphisms of stable continuoustrace C∗-algebras up to inner automorphism by a surjective multiplicative invariant taking values in finite dimensional vector bundles over the spectrum. Specializing to automorphisms, this gives a different approach to results of Phillips and Raeburn. 2000 Mathematics Subject Classification: 46L05, 46M20
متن کاملOn the cyclic Homology of multiplier Hopf algebras
In this paper, we will study the theory of cyclic homology for regular multiplier Hopf algebras. We associate a cyclic module to a triple $(mathcal{R},mathcal{H},mathcal{X})$ consisting of a regular multiplier Hopf algebra $mathcal{H}$, a left $mathcal{H}$-comodule algebra $mathcal{R}$, and a unital left $mathcal{H}$-module $mathcal{X}$ which is also a unital algebra. First, we construct a para...
متن کاملPeriodic Cyclic Homology of Iwahori-hecke Algebras
We determine the periodic cyclic homology of the Iwahori-Hecke algebras Hq, for q ∈ C∗ not a “proper root of unity.” (In this paper, by a proper root of unity we shall mean a root of unity other than 1.) Our method is based on a general result on periodic cyclic homology, which states that a “weakly spectrum preserving” morphism of finite type algebras induces an isomorphism in periodic cyclic ...
متن کاملSimplicial normalization in the entire cyclic cohomology of Banach algebras
We show that the entire cyclic cohomology of Banach algebras defined by Connes has the simplicial normalization property. A key tool in the proof is the notion and properties of supertraces on the Cuntz algebra QA. As an example of further applications of this technique we give a proof of the homotopy invariance of entire cyclic cohomology.
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: Bulletin of the London Mathematical Society
سال: 2006
ISSN: 0024-6093
DOI: 10.1112/blms/bdl010