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The Segal conjecture for topological Hochschild homology of commutative S-algebras

, 2005
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Coproducts in the category $${{\mathcal {S}}}(B)$$ of Segal topological algebras, revisited

Periodica Mathematica Hungarica, 2020
In this paper we generalize the result (obtained by the author earlier in the paper titled “Products and coproducts in the category $${{\mathcal {S}}}(B)$$ of Segal topological algebras”) about the existence of the coproduct of objects of the category $${\mathcal S}(B)$$ from finite collection of objects of $${{\mathcal {S}}}(B)$$ to any ...
M. Abel
semanticscholar   +3 more sources

Generalization of Segal algebras for arbitrary topological algebras

Periodica Mathematica Hungarica, 2017
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M. Abel
semanticscholar   +4 more sources

Local topological order and boundary algebras

Forum of Mathematics, Sigma, 2023
We introduce a set of axioms for locally topologically ordered quantum spin systems in terms of nets of local ground state projections, and we show they are satisfied by Kitaev’s Toric Code and Levin-Wen type models.
Corey Jones, Pieter Naaijkens, David Penneys, Daniel Wallick   +3 more
semanticscholar   +1 more source

An algebraic definition of (∞,n)-categories

Theory and Applications of Categories, 2015
In this paper we define a sequence of monads T(∞,n)(n ∈ N) on the category ∞-Gr of ∞-graphs. We conjecture that algebras for T(∞,0), which are defined in a purely algebraic setting, are models of∞-groupoids.
Camell Kachour
semanticscholar   +1 more source

On Segal entropy

ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE
The paper is devoted to the investigation of Segal's entropy in semifinite von Neumann algebras. The following questions are dealt with: semicontinuity, the 'ideal-like' structure of the linear span of the set of operators with finite entropy, and ...
Andrzej Luczak
semanticscholar   +1 more source

Factorization Homology as a Fully Extended Topological Field Theory

, 2014
Claudia I. Scheimbauer
semanticscholar   +1 more source

Isomorphisms Between the Multiplier Algebras of Certain Topological Algebras

Mediterranean Journal of Mathematics
M. Haralampidou, L. Palacios, C. Signoret   +2 more
semanticscholar   +1 more source