Extensions of the reduced group C*-algebra of a free product of amenable groups

Details Extensions of the reduced group C*-algebra of a free product of amenable groups Extensions of the reduced group C*-algebra of a free product of amenable groups

2009-02-19

arxiv.org/abs/0902.3375v2

Mathematics

Operator Algebras

A flaw in the exposition has been corrected and the author name has fissioned into 2

Scientific paper

We prove that the unitary equivalence classes of extensions of C*_r(G) by any
sigma-unital stable C"-algebra, taken modulo extensions which split via an
asymptotic homomorphism, form a group which can be calculated from the
universal coefficient theorem of KK-theory when G is a free product of a
countable collection of amenable groups.

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