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Does convergence on compacta imply $L_{1}$-convergence?

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#general-topology #functional-analysis #measure-theory #locally-compact-groups #haar-measure
211
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Paracompactness of topological group.

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#general-topology #topological-groups #locally-compact-groups #paracompactness
225
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Are maximal compact subgroups determined by their connected component?

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#lie-groups #topological-groups #locally-compact-groups
196
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When is the group $C^*$-algebra of a locally compact group an AF-algebra?

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#functional-analysis #group-theory #operator-algebras #c-star-algebras #locally-compact-groups
99
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$f\in L^1(\mu) ~\text{and}~\forall g\in L^1(\mu)~\int gf ~ \mathrm{d}\mu=0 \implies f=0$ a.e.

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#measure-theory #locally-compact-groups #haar-measure
238
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There is a unique Borel measure on $(0,\infty)$ with scaling invariance and $\mu([1,e])=1$.

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#measure-theory #locally-compact-groups #haar-measure
64
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Anticommutation of Convolution Products on Trace Class Operators of Quantum Groups

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#harmonic-analysis #von-neumann-algebras #locally-compact-groups #quantum-groups
244
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Why $\text{SL}_2(\mathbb Z_p)$ is open in $\text{GL}_2(\mathbb Q_p)$?

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#general-topology #p-adic-number-theory #locally-compact-groups
58
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Is unimodular stable under local isomorphisms?

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#measure-theory #lie-groups #topological-groups #locally-compact-groups
42
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Folner nets for amenable groups and basis of neighborhoods at $e$

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#topological-groups #locally-compact-groups #amenability
77
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An example of a compact group which its identity connected component is nontrivial, abelian and of measure zero.

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#compactness #abelian-groups #topological-groups #locally-compact-groups #haar-measure
183
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$\mathrm{Iso}(X)$ is locally compact if $X$ is locally compact

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#general-topology #metric-spaces #isometry #locally-compact-groups
87
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Smooth vectors in closed invariant subspace

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#representation-theory #lie-groups #lie-algebras #locally-convex-spaces #locally-compact-groups
357
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Is the unitary group $U(H)$ with the strong operator topology locally compact?

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#functional-analysis #operator-theory #topological-groups #locally-compact-groups #unitary-matrices
322
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Existence of orthonormal basis for $L^2(G)$ in $C_c(G)$.

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#operator-theory #hilbert-spaces #harmonic-analysis #orthonormal #locally-compact-groups

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