On quotients of tensor algebras and their C*-envelopes

DOI10.1017/S0013091500020976zbMath0970.46043MaRDI QIDQ4488186

Baruch Solel, Paul S. Muhly

Publication date: 9 July 2000

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

tensor algebras\(C^*\)-algebraHilbert \(C^*\)-modulebimodule\(C^*\)-envelopesleft actionright \(A\)-module

Mathematics Subject Classification ID

(C^*)-modules (46L08) Operator spaces and completely bounded maps (46L07) Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25) Tensor products in functional analysis (46M05) Ideals and subalgebras (46H10)

Cites Work

• Tensor algebras over \(C^*\)-correspondences: Representations, dilations, and \(C^*\)-envelopes
• Induced representations of C\(^*\)-algebras
• Subalgebras of \(C^ *\)-algebras
• Isometric Dilations for Infinite Sequences of Noncommuting Operators
• Norm-Preserving Dilations and Their Applications to Optimal Error Bounds
• Non-commutative disc algebras and their representations
• On the structure of algebras with nonzero radical