Results 31 to 40 of about 289,513 (282)
Nuclear Physics B, 2022 We extend the (gauged) Skyrme model to the case in which the global isospin group (which usually is taken to be SU(N)) is a generic compact connected Lie group G.
S.L. Cacciatori +4 more
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Positive Sofic Entropy Implies Finite Stabilizer
Entropy, 2016 We prove that, for a measure preserving action of a sofic group with positive sofic entropy, the stabilizer is finite on a set of positive measures. This extends the results of Weiss and Seward for amenable groups and free groups, respectively.
Tom Meyerovitch
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Free Topological Groups and Dimension [PDF]
Transactions of the American Mathematical Society, 1976 For a completely regular space X we denote by F(X) and A(X) the free topological group of X and the free Abelian topological group of X, respectively, in the sense of Markov and Graev. Let X and Y be locally compact metric spaces with either A(X) topologically isomorphic to A(Y) or F(X) topologically isomorphic to F(Y).
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Applied General Topology, 2015 Let FP(X) be the free paratopological group on a topological space X in the sense of Markov. In this paper, we study the group FP(X) on a $P_\alpha$-space $X$ where $\alpha$ is an infinite cardinal and then we prove that the group FP(X) is an Alexandroff
Ali Sayed Elfard
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Topological complexity of basis-conjugating automorphism groups [PDF]
, 2008 We compute the topological complexity of Eilenberg-Mac Lane spaces associated to the group of automorphisms of a finitely generated free group which act by conjugation on a given basis, and to certain subgroups.Comment: 12 ...
Cohen, Daniel C., Pruidze, Goderdzi
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Locally invariant topologies on free groups [PDF]
Pacific Journal of Mathematics, 1982 In 1948, M. I. Graev proved that the free topological group on a completely regular Hausdorff space is Hausdorff, by showing that the free group admits a certain locally invariant Hausdorff group topology. In 1964, S. Swierczkowski gave a different proof, which also depends on the construction of a locally invariant topology.
Morris, Sidney A., Nickolas, Peter
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Group actions on topological graphs [PDF]
, 2010 We define the action of a locally compact group $G$ on a topological graph $E$. This action induces a natural action of $G$ on the $C^*$-correspondence ${\mathcal H}(E)$ and on the graph $C^*$-algebra $C^*(E)$.
Deaconu, Valentin +2 more
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Dense embeddings of surface groups
, 2009 We discuss dense embeddings of surface groups and fully residually free groups in topological groups. We show that a compact topological group contains a nonabelian dense free group of finite rank if and only if it contains a dense surface group.
Abert +11 more
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$C^*$-simplicity and representations of topological full groups of groupoids [PDF]
, 2019 Given an ample groupoid $G$ with compact unit space, we study the canonical representation of the topological full group $[[G]]$ in the full groupoid $C^*$-algebra $C^*(G)$.
Brix, Kevin Aguyar, Scarparo, Eduardo
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The fundamental group as a topological group
, 2012 This paper is devoted to the study of a natural group topology on the fundamental group which remembers local properties of spaces forgotten by covering space theory and weak homotopy type.
Brazas, Jeremy
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