Results 11 to 20 of about 87 (69)
Some remarks on the Gelfand–Naimark–Segal representations of topological *-algebras [PDF]
Journal of Mathematical Physics, 2008 After an appropriate restatement of the Gelfand–Naimark–Segal construction for topological *-algebras we prove that there exists an isomorphism among the set Cycl(A) of weakly continuous strongly cyclic *-representations of a barreled dual-separable *-algebra with unit A, the space HilbA(A*) of the Hilbert spaces that are continuously embedded in A*
Sergio Iguri, Mario Castagnino
exaly +4 more sources
ABOUT SOME CATEGORIES OF SEGAL TOPOLOGICAL ALGEBRAS
Poincare Journal of Analysis and Applications, 2019 Mart Abel
exaly +2 more sources
Segal operations in the algebraic K-theory of topological spaces [PDF]
Annals of K-Theory, 2019 Revision corrects typographical errors, corrects some omissions, replaces quoted (long) definitions with specific references to literature, and reorganizes material ...
Gunnarsson, Thomas, Staffeldt, Ross
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About the density property in the space of continuous maps vanishing at infinity; pp. 282–290 [PDF]
Proceedings of the Estonian Academy of Sciences, 2018 The conditions when C0(X)âY is dense in C0(X;Y) in the compact-open topology on C0(X;Y) are given. This result is used for describing the properties of topological Segal algebras.
Mart Abel
doaj +1 more source
About the transitivity of the property of being Segal topological algebra
Acta et Commentationes Universitatis Tartuensis de Mathematica, 2022 We show that if (A, f, B) and (B, g, C) are left (right or two-sided) Segal topological algebras for which g(f(A))⊆ g(B)g(f(A)) (g(f(A))⊆ g(f(A))g(B) or g(f(A))⊆ g(B)g(f(A))∩ g(f(A))g(B), respectively), then (A, g∘ f, C) is also a left (right or two-sided, respectively) Segal topological algebra.
openaire +1 more source
Higher representation stability for ordered configuration spaces
Journal of Topology, Volume 19, Issue 3, September 2026.Abstract Using factorization homology with coefficients in twisted commutative algebras (TCAs), we prove two flavors of higher representation stability for the cohomology of (generalized) configuration spaces of a scheme/topological space X$X$. First, we provide an iterative procedure to study higher representation stability using actions coming from ...
Quoc P. Ho
wiley +1 more source
Rickard's derived Morita theory: Review and outlook
Journal of the London Mathematical Society, Volume 113, Issue 6, June 2026.Abstract We survey the main results in Jeremy Rickard's seminal papers ‘Morita theory for derived categories’ and ‘Derived equivalences and derived functors’. These papers catalysed the later development of the Morita theory of (enhanced) compactly generated triangulated categories by Keller in the algebraic setting and by Schwede and Shipley in the ...
Gustavo Jasso +2 more
wiley +1 more source
Infinity‐operadic foundations for embedding calculus
Journal of Topology, Volume 19, Issue 2, June 2026.Abstract Motivated by applications to spaces of embeddings and automorphisms of manifolds, we consider a tower of ∞$\infty$‐categories of truncated right modules over a unital ∞$\infty$‐operad O$\mathcal {O}$. We study monoidality and naturality properties of this tower, identify its layers, describe the difference between the towers as O$\mathcal {O}$
Manuel Krannich, Alexander Kupers
wiley +1 more source
Deforming the Double‐Scaled SYK and Reaching the Stretched Horizon From Finite Cutoff Holography
Fortschritte der Physik, Volume 74, Issue 5, May 2026.ABSTRACT We study the properties of the double‐scaled SYK (DSSYK) model under chord Hamiltonian deformations based on finite cutoff holography for general dilaton gravity theories with Dirichlet boundaries. The formalism immediately incorporates a lower‐dimensional analog of TT¯(+Λ2)$\text{T}\overline{\text{T}}(+\Lambda _2)$ deformations, denoted T2 ...
Sergio E. Aguilar‐Gutierrez
wiley +1 more source
Equivariant algebraic vs. topological K-homology Atiyah-Segal-style
Duke Mathematical Journal, 1988 Let G be a group scheme over a suitable base scheme S, acting on a noetherian locally separated algebraic space X. \(G\to S\) is supposed to be flat, separated and of finite type. Then one can associate to the exact category of coherent sheaves of \({\mathcal O}_ X\)-modules with compatible G-action and to the exact subcategory of algebraic G-vector ...
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