Please use this identifier to cite or link to this item:
http://repo.lib.jfn.ac.lk/ujrr/handle/123456789/9324
Title: | Rapid Decay and Invariant Approximation Property |
Authors: | Kannan, K. |
Keywords: | Uniform Roe algebras;Invariant approximation property;Rapid decay property |
Issue Date: | 2016 |
Publisher: | Mathematical Reports, vol. 18 |
Abstract: | Analytic 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. |
URI: | http://repo.lib.jfn.ac.lk/ujrr/handle/123456789/9324 |
Appears in Collections: | Mathematics and Statistics |
Files in This Item:
File | Description | Size | Format | |
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Rapid Decay and Invariant Approximation Property.pdf | 316.8 kB | Adobe PDF | View/Open |
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