Identification of maximal C*-covers of some operator algebras
Copyright policy )Identification of maximal C*-covers of some operator algebras
We use results on inclusions of free products and extensions of completely positive maps to determine the maximal C ∗ ^* -envelope for upper triangular 3 × 3 3 \times 3 matrices. We consider these same results in the context of larger upper triangular matrices and graph algebras associated to cycle graphs.
- Illinois State University United States
Abstract operator algebras on Hilbert spaces, Mathematics - Operator Algebras, FOS: Mathematics, Limit algebras, subalgebras of \(C^*\)-algebras, Free products of \(C^*\)-algebras, Operator Algebras (math.OA)
Abstract operator algebras on Hilbert spaces, Mathematics - Operator Algebras, FOS: Mathematics, Limit algebras, subalgebras of \(C^*\)-algebras, Free products of \(C^*\)-algebras, Operator Algebras (math.OA)
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