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arxiv: 0901.2312 · v2 · pith:YSGDPLR4new · submitted 2009-01-15 · 🧮 math.OA

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

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keywords freealgebraalgebrasamalgamationdimensionalfiniteproductscases
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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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