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Asymptotic representations of the reduced C*‐algebra of a free group: an example
Author(s) -
Manuilov V.
Publication year - 2008
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/blms/bdn066
Subject(s) - mathematics , algebra over a field , group (periodic table) , pure mathematics , group algebra , chemistry , organic chemistry
We give an example of a non‐trivial asymptotic representation of the reduced C*‐algebra of a free group. This example allows us to evaluate the asymptotic tensor C*‐norm of some elements in tensor product C*‐algebras and to show semi‐invertibility of the non‐invertible extension of C* r ( 2 ) considered by Haagerup and Thorbjørnsen.
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