Some \(C^*\)-algebraic properties of non-commutative unitary \(C^*\)-algebra and its state space structure

DOI10.1007/s12044-023-00753-3OpenAlexW4387846202MaRDI QIDQ6062251

Malay Mandal

Publication date: 30 November 2023

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12044-023-00753-3

zbMATH Keywords

\(C^*\)-algebracompletely positive mapcompact quantum group

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) States of selfadjoint operator algebras (46L30)

Cites Work

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• Primitivity of unital full free products of residually finite dimensional \(C^\ast\)-algebras
• Invariants of the half-liberated orthogonal group
• On compact bicrossed products
• Free and residually finite-dimensional \(C^*\)-algebras
• Compact matrix pseudogroups
• The full C*-algebra of the free group on two generators
• \(C^*\)-algebras generated by elements of a unitary matrix
• On certain free product factors via an extended matrix model
• On non-semisplit extensions, tensor products and exactness of group \(C^*\)-algebras
• A prime \(C^{*}\)-algebra that is not primitive
• Free products of compact quantum groups
• Stochastic aspects of the unitary dual group
• NORMAL SUBGROUPS, CENTER AND INNER AUTOMORPHISMS OF COMPACT QUANTUM GROUPS
• Free Products of C ∗ -Algebras
• PRIMITIVITY CONDITIONS FOR FULL GROUP C*-ALGEBRAS
• A non-commutative unitary analogue of Kirchberg's conjecture
• Sur les $C^*$-algèbres

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