Please use this identifier to cite or link to this item: http://repo.lib.jfn.ac.lk/ujrr/handle/123456789/9324
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dc.contributor.authorKannan, K.-
dc.date.accessioned2023-04-17T05:06:55Z-
dc.date.available2023-04-17T05:06:55Z-
dc.date.issued2016-
dc.identifier.urihttp://repo.lib.jfn.ac.lk/ujrr/handle/123456789/9324-
dc.description.abstractAnalytic properties of invariant approximation property, studies analytic tech niques from operator theory that encapsulate geometric properties of a group. We show that the following theorem holds: For a discrete group G satisfying the rapid decay property with respect to a conditionally negative length function `, the reduced C ∗ -algebra C ∗ r (G) has the invariant approximation property. We then use this to show that some groups have invariant approximation property. We also show that if G is a free product group satisfying the rapid decay prop erty with respect to a conditionally negative length function `, then the reduced C ∗ -algebra C ∗ r (G) has the invariant approximation property.en_US
dc.language.isoenen_US
dc.publisherMathematical Reports, vol. 18en_US
dc.subjectUniform Roe algebrasen_US
dc.subjectInvariant approximation propertyen_US
dc.subjectRapid decay propertyen_US
dc.titleRapid Decay and Invariant Approximation Propertyen_US
dc.typeArticleen_US
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