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The noncommutative Shilov boundary

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Title: The noncommutative Shilov boundary
Authors: Johansson, Jimmy
Issue Date: 6-Dec-2016
Degree: Student essay
Abstract: We introduce Arveson's generalization of the Shilov boundary to the noncommutative case and give a proof based on the work of Hamana of the existence of the Shilov boundary ideal. Moreover, we describe the Shilov boundary for a noncommutative analog of the algebra of holomorphic functions on the unit polydisk Dn and for a q-analog of the algebra of holomorphic functions on the unit ball in the space of symmetric complex 2 x 2 matrices.
Appears in Collections:Masteruppsatser



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