Homology and cohomology for topological algebras
From MaRDI portal
Publication:759368
DOI10.1016/0001-8708(72)90016-3zbMath0271.46040OpenAlexW2011033150MaRDI QIDQ759368
Publication date: 1972
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0001-8708(72)90016-3
(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Functional calculus for linear operators (47A60) General theory of topological algebras (46H05) Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25) Methods of category theory in functional analysis (46M99)
Related Items (69)
Maximal ideals and the structure of contractible and amenable Banach algebras ⋮ Spectral theory and sheaf theory. II ⋮ Hochschild cohomology of the algebra of smooth functions on the torus ⋮ Cyclic homology of differential operators ⋮ Nilpotency of Connes' periodicity operator and the idempotent conjectures ⋮ Local left invertibility for operator tuples and noncommutative localizations ⋮ The isocohomological property, higher Dehn functions, and relatively hyperbolic groups. ⋮ On regularization of vector distributions on manifolds ⋮ Fréchet sheaves and Taylor spectrum for supernilpotent Lie algebra of operators ⋮ Realizing the analytic surgery group of Higson and Roe geometrically. III: Higher invariants ⋮ Semisimple Segal Fréchet algebras ⋮ Quantum K-theory. I: The Chern character ⋮ Function theory from tensor algebras ⋮ The approximation property and nilpotent ideals in amenable Banach algebras ⋮ Equivariant cyclic homology and equivariant differential forms ⋮ On quotients and restrictions of generalized scalar operators ⋮ On non-zero values of the central homological dimension of C*-algebras ⋮ Pontryagin duality in the theory of topological modules ⋮ The Arens-Michael envelopes of the Jordan plane and \(U_q (\mathfrak{sl} (2))\) ⋮ General approach to Köthe echelon algebras ⋮ Continuous and smooth envelopes of topological algebras. I ⋮ Continuous and smooth envelopes of topological algebras. II ⋮ Derivations of Köthe echelon algebras of order zero and infinity ⋮ Essential \(\varphi\)-amenability and essential character amenability of Fréchet algebras ⋮ Contractible Köthe co-echelon algebras ⋮ On amenable and compact groups ⋮ Functions of several noncommuting variables ⋮ Analytic localization of group representations ⋮ Unnamed Item ⋮ Essential amenability of Fréchet algebras ⋮ On certain homological properties of Stein algebras ⋮ Local properties of Taylor's analytic functional calculus ⋮ Amenable and weakly amenable Banach algebras with compact multiplication ⋮ Structure of contractible locally $C^*$-algebras ⋮ On the nonexistence of cofree Fréchet modules over locally multiplicatively-convex Fréchet algebras ⋮ Unnamed Item ⋮ On strict homological dimensions of algebras of continuous functions ⋮ Unnamed Item ⋮ Stein domains in Banach algebraic geometry ⋮ Smooth dense subalgebras of reduced group \(C^*\)-algebras, Schwartz cohomology of groups, and cyclic cohomology ⋮ Axiomatic Cohomology for Banach Modules ⋮ \(\varphi\)-amenability and character amenability of Fréchet algebras ⋮ EXTENSIONS OF COCOMMUTATIVE COALGEBRAS AND A HOCHSCHILD–KOSTANT–ROSENBERG TYPE THEOREM ⋮ Arens–Michael envelopes, homological epimorphisms, and relatively quasi-free algebras ⋮ BIFLATNESS AND BIPROJECTIVITY OF BANACH ALGEBRAS GRADED OVER A SEMILATTICE ⋮ Stable flatness of nonarchimedean hyperenveloping algebras ⋮ Envelopes and refinements in categories, with applications to functional analysis ⋮ Coincidence of the homological dimensions of the Fréchet algebra of smooth functions on a manifold with the dimension of the manifold ⋮ Formally-radical Functions in Elements of a Nilpotent Lie Algebra and Noncommutative Localizations ⋮ Holomorphic functions on the quantum polydisk and on the quantum ball ⋮ The Schwartz space of a smooth semi-algebraic stack ⋮ Homological dimensions of modules of holomorphic functions on submanifolds of Stein manifolds ⋮ Arithmetic families of \((\varphi,\Gamma)\)-modules and locally analytic representations of \(\mathrm{GL}_2(\mathbb Q_p)\) ⋮ Spatiality of derivations of Fréchet GB$^{*}$-algebras ⋮ Separable Topological Algebras. I ⋮ The cohomology of locally analytic representations ⋮ Arens-Michael enveloping algebras and analytic smash products ⋮ Open embeddings and pseudoflat epimorphisms ⋮ Hermitian Geometry on Resolvent Set ⋮ Localization on (necessarily) topological coalgebras and cohomology ⋮ A general framwork for a multi-operator functional calculus ⋮ Homological dimensions of certain algebras of principal (test) functions ⋮ Topological Hopf algebras and their Hopf-cyclic cohomology ⋮ Arens–Michael envelopes of nilpotent Lie algebras, holomorphic functions of exponential type, and homological epimorphisms ⋮ Dual Fréchet algebras: Connes amenability and (σwc)-virtual diagonals ⋮ Topological amenability and Köthe co-echelon algebras ⋮ Algebras of free holomorphic functions and localizations ⋮ Generalised Deformations, Koszul Resolutions, Moyal Products ⋮ \(C^\infty(M)\) as a smooth envelope of its subalgebras
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A general framwork for a multi-operator functional calculus
- Cohomology of operator algebras. I: Type I von Neumann algebras
- A joint spectrum for several commuting operators
- The analytic-functional calculus for several commuting operators
- On the cohomology groups of an associative algebra
- On the cohomology theory for associative algebras
- The Wedderburn Decomposition of Banach Algebras with Finite Dimensional Radical
- Cohomology Groups of Commutative Banach Algebras
- A Theorem of the Hahn-Banach Type for Linear Transformations
- Produits tensoriels topologiques et espaces nucléaires
This page was built for publication: Homology and cohomology for topological algebras