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Integrable representations of involutive algebras and Ore localization
Integrable representations involutive algebras Ore localization
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2011/2/24
LetAbe a unital algebra equippedwith an involution (·)†, and suppose that the multiplicative set S ⊆ A generated by the elements of the form 1 + a†a satisfies the Ore condition.
IRREDUCIBLE REPRESENTATIONS AND SQUARE INTEGRABLE REPRESENTATIONS OF LOCALLY COMPACT GROUPOIDS
topological groupoid irreducible representation square integrable representation
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2007/12/11
A notion of an irreducible representation, as well as of a square integrable representation on an arbitrary locally compact groupoid, is introduced. A generalization of a version of Schur's lemma on a...