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Cyclic Gamma Homology and Gamma Homology for Associative Algebras
Published/Copyright:
March 11, 2010
Abstract
The stabilization of Hochschild homology of commutative algebras is Gamma homology. We describe a cyclic variant of Gamma homology and prove that the associated analogue of Connes' periodicity sequence becomes almost trivial, because the cyclic version coincides with the ordinary version from homological degree two on. We show that a possible desymmetrized definition of Gamma homology coincides with a shifted version of Hochschild homology and its associated cyclic theory does the same.
Key words and phrases:: Cyclic homology; Hochschild homology; Gamma homology; stabilization; periodicity sequence
Received: 2008-01-02
Published Online: 2010-03-11
Published in Print: 2009-March
© Heldermann Verlag
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Keywords for this article
Cyclic homology;
Hochschild homology;
Gamma homology;
stabilization;
periodicity sequence
Articles in the same Issue
- A Conjecture on Homotopy Groups of Spheres, Details on the Algebra of Higher Cohomology Operations
- On the Derived Category of an Algebra Over an Operad
- Profinite Heyting Algebras and Profinite Completions of Heyting Algebras
- Isomorphism Characterization of Divisible Groups in Modular Abelian Group Rings
- Quadratic Maps Between Groups
- Fixpoint Objects Need Not be Ω-Discrete
- On the Representation of Numbers by Some Quadratic Forms of Level 12
- The Lattice of Fully Invariant Subgroups of a Cotorsion Hull
- Singular 2D Behaviors: Fornasini–Marchesini and Givone–Roesser Models
- On the Center and Baues–Wirsching Cohomology of Small Categories
- Cyclic Gamma Homology and Gamma Homology for Associative Algebras
- Completions of Non-Symmetric Metric Spaces Via Enriched Categories
- Some Equivariant Constructions in Noncommutative Algebraic Geometry
- Forcing for IZF in Sheaf Toposes
