Exactness of universal free products of finite dimensional $C^*$-algebras with amalgamation

Details Exactness of universal free products of finite dimensional $C^*$-algebras with amalgamation Exactness of universal free products of finite dimensional $C^*$-algebras with amalgamation

2009-01-15

arxiv.org/abs/0901.2312v2

Mathematics

Operator Algebras

9 pages, this version fixes some confusing typographical errors and clarifies some examples

Scientific paper

We investigate free products of finite dimensional $C^*$-algebras with
amalgamation over diagonal subalgebras. We look to determine under what
circumstances a given free product is exact and/or nuclear. In some cases we
find a description of the algebra in terms of a more readily understood
algebra.

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