Results 21 to 30 of about 35,842 (169)
Characterizing group C*-algebras through their unitary groups: the Abelian case [PDF]
, 2010 We study to what extent group C*-algebras are characterized by their unitary groups. A complete characterization of which Abelian group C*-algebras have isomorphic unitary groups is obtained. We compare these results with other unitary-related invariants
Galindo, Jorge +1 more
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Structure of Finite-Dimensional Protori
Axioms, 2019 A Structure Theorem for Protori is derived for the category of finite-dimensional protori (compact connected abelian groups), which details the interplay between the properties of density, discreteness, torsion, and divisibility within a finite ...
Wayne Lewis
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Non-unitarisable representations and random forests [PDF]
, 2008 We establish a connection between Dixmier's unitarisability problem and the expected degree of random forests on a group. As a consequence, a residually finite group is non-unitarisable if its first L2-Betti number is non-zero or if it is finitely ...
Epstein, Inessa, Monod, Nicolas
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Degrees of orders on torsion-free Abelian groups
Annals of Pure and Applied Logic, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Asher M. Kach +2 more
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General relativity as a biconformal gauge theory
Nuclear Physics B, 2019 We consider the conformal group of a space of dimn=p+q, with SO(p,q) metric. The quotient of this group by its homogeneous Weyl subgroup gives a principal fiber bundle with 2n-dim base manifold and Weyl fibers.
James T. Wheeler
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Module structures and filters on semihoops [PDF]
Journal of Mahani Mathematical ResearchIn this paper, we study modules and filters on semihoops. Firstly, we introduce the definition of modules on semihoops and give some examples to illustrate it. Also, we get some significant results related to modules on semihoops. If the semihoop $G$ can
Hao Chen, Xiao Long Xin
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The $L^2$-torsion polytope of amenable groups
, 2018 We introduce the notion of groups of polytope class and show that torsion-free amenable groups satisfying the Atiyah Conjecture possess this property. A direct consequence is the homotopy invariance of the $L^2$-torsion polytope among $G$-CW-complexes ...
Funke, Florian
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On torsion-free abelian groups and Lie algebras [PDF]
Proceedings of the American Mathematical Society, 1958 It is known that many of the classes of simple Lie algebras of prime characteristic of nonclassical type have simple infinite-dimensional analogues of characteristic zero (see, for example, [4, p. 518]). We consider here analogues of those algebras which are defined by a modification of the definition of a group algebra.
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Neutrosophic Triplets in Neutrosophic Rings
Mathematics, 2019 The neutrosophic triplets in neutrosophic rings 〈 Q ∪ I 〉 and 〈 R ∪ I 〉 are investigated in this paper. However, non-trivial neutrosophic triplets are not found in 〈 Z ∪ I 〉 .
Vasantha Kandasamy W. B. +2 more
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Indecomposable decompositions of torsion-free abelian groups [PDF]
Journal of Algebra, 2018 An indecomposable decomposition of a torsion-free abelian group $G$ of rank $n$ is a decomposition $G=A_1\oplus\cdots\oplus A_t$ where $A_i$ is indecomposable of rank $r_i$ so that $\sum_i r_i=n$ is a partition of $n$. The group $G$ may have decompositions that result in different partitions of $n$.
Adolf Mader, Phill Schultz
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