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- W2774470386 abstract "An isometry of a unital [Formula: see text]-algebra with respect to a spectral triple is a [Formula: see text]-automorphism of the [Formula: see text]-algebra given by the conjugation by a unitary operator which commutes with the Dirac operator. We give a semidirect product topological characterization on the isometry group of a twisted reduced group [Formula: see text]-algebra of a discrete group with respect to the standard spectral triple induced by a length function on the group. We prove that this isometry group is compact in the point-norm topology, and in particular, for a finitely generated discrete group, this isometry group is a compact Lie group in the point-norm topology. We also extend this result to a unital [Formula: see text]-algebra with a filtration, and prove that its isometry group is a compact topological group in the point-norm topology." @default.
- W2774470386 created "2017-12-22" @default.
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- W2774470386 date "2017-12-01" @default.
- W2774470386 modified "2023-10-18" @default.
- W2774470386 title "Isometry groups of twisted reduced group C∗-algebras" @default.
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- W2774470386 doi "https://doi.org/10.1142/s0129167x17501014" @default.
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