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15
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Compact abelian group and Continuous functions

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#real-analysis #abstract-algebra #functional-analysis #abelian-groups #locally-compact-groups
37
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Disjoint translations of a compact neighborhood of 0 in a locally compact group.

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#topological-groups #locally-compact-groups
64
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Polish groups having finite covering dimension

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#general-topology #topological-groups #dimension-theory-analysis #locally-compact-groups
580
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The action of a topological group on the function space is continuous?

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#general-topology #continuity #group-actions #topological-groups #locally-compact-groups
37
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If $f(gK) \subset U$ find a compact neighborhood of $g$, $\overline{Q}$, such that $f(\overline{Q} K) \subset U$

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#general-topology #topological-groups #locally-compact-groups
223
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Example of non-amenable group which is the inverse limit of amenable groups

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#general-topology #topological-groups #locally-compact-groups #amenability
666
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Can Haar Measures Exist On Not Locally Compact Spaces?

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#group-theory #measure-theory #locally-compact-groups
99
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Examples of nilpotent connected locally compact groups which are not Lie groups

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#group-theory #topological-groups #locally-compact-groups
2.2k
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Urysohn lemma for locally compact spaces

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#general-topology #functional-analysis #locally-compact-groups
109
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Is $\pi^1:C_c(G)\rightarrow \operatorname{End}(H)$ a homomorphism of the convolution algebra when $G$ is not unimodular?

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#measure-theory #representation-theory #convolution #locally-compact-groups #haar-measure
98
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Characterisation of the spectrum of certain unitary representations on $L^2(G)$

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#harmonic-analysis #locally-compact-groups
121
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Mapping $G$ into its group algebra as left multiplication. Continuous?

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#representation-theory #banach-spaces #harmonic-analysis #lp-spaces #locally-compact-groups
44
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Convention for locally compact groups?

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#locally-compact-groups
37
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$SU_2(\mathbb{C})$ and the characters

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#lie-groups #characters #locally-compact-groups
320
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How can this linear map be injective?

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#tensor-products #topological-vector-spaces #locally-compact-groups

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