Results 41 to 50 of about 1,176,222 (128)
Algebraic singular functions are not always dense in the ideal of C∗$C^*$‐singular functions
Abstract We give the first examples of étale (non‐Hausdorff) groupoids G$\mathcal {G}$ whose C∗$C^*$‐algebras contain singular elements that cannot be approximated by singular elements in Cc(G)$\mathcal {C}_c(\mathcal {G})$. We provide two examples: one is a bundle of groups and the other a minimal and effective groupoid constructed from a self‐similar
Diego Martínez, Nóra Szakács
wiley +1 more source
Manifestly unitary higher Hilbert spaces
Abstract Higher idempotent completion gives a formal inductive construction of the n$n$‐category of finite‐dimensional n$n$‐vector spaces starting with the complex numbers. We propose a manifestly unitary construction of low‐dimensional higher Hilbert spaces, formally constructing the C∗$\mathrm{C}^*$‐3‐category of 3‐Hilbert spaces from Baez's 2 ...
Quan Chen +4 more
wiley +1 more source
Counting 5‐isogenies of elliptic curves over Q$\mathbb {Q}$
Abstract We show that the number of 5‐isogenies of elliptic curves defined over Q$\mathbb {Q}$ with naive height bounded by H>0$H > 0$ is asymptotic to C5·H1/6(logH)2$C_5\cdot H^{1/6} (\log H)^2$ for some explicitly computable constant C5>0$C_5 > 0$. This settles the asymptotic count of rational points on the genus zero modular curves X0(m)$\mathcal {X}
Santiago Arango‐Piñeros +3 more
wiley +1 more source
Shaprly transitive partially ordered sets [PDF]
We call a partially ordered set Λ sharply transitive if its group of order automorphisms is sharply transitive on Λ, that is, if it is transitive on Λ and every non-trivial automorphism has no fixed points.
Behrendt, Gerhard
core +1 more source
On the ET0L subgroup membership problem in bounded automata groups
Abstract We are interested in the subgroup membership problem in groups acting on rooted d$d$‐regular trees and a natural class of subgroups, the stabilisers of infinite rays emanating from the root. These rays, which can also be viewed as infinite words in the alphabet with d$d$ letters, form the boundary of the tree.
Alex Bishop +5 more
wiley +1 more source
A classification of finite rank dimension groups by their representations in ordered real vector spaces [PDF]
Peer ...
Aaron Tikuisis +5 more
core +1 more source
Monoids of Intervals of Ordered Abelian Groups [PDF]
For any partially ordered abelian groupG, we relate the structure of the ordered monoid Λ(G) ofintervalsofG(i.e., nonempty, upward directed lower subsets ofG), to various properties ofG, as for example interpolation properties, or topological properties ...
Wehrung, Friedrich
core +1 more source
What is category theory to cognitive science? Compositional representation and comparison. [PDF]
Phillips S.
europepmc +1 more source
Algebras, Graphs and Ordered Sets - ALGOS 2020 & the Mathematical Contributions of Maurice Pouzet. [PDF]
Couceiro M, Duffus D.
europepmc +1 more source
Monoid Based Semantics for Linear Formulas
Each Girard quantale (i.e. commutative quantale with a selected dualizing element) provides a support for a semantics for linear propositional formulas (but not for linear derivations). Several constructions of Girard quantales are known.
Simmons, Harold, Mitchell, Bill
core +1 more source

