Factorization of holomorphic matrices and Kazhdan's property (T)

DOI10.1016/j.bulsci.2023.103376arXiv2207.12057OpenAlexW4389619817MaRDI QIDQ6146244

Josua Schott, Gaofeng Huang, Frank Kutzschebauch

Publication date: 10 January 2024

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2207.12057

zbMATH Keywords

K-theoryStein spacesexponential factorizationKazhdan's property (T)holomorphic symplectic matrices

Mathematics Subject Classification ID

Stein manifolds (32Q28) Linear algebraic groups over adèles and other rings and schemes (20G35) Algebras of holomorphic functions of several complex variables (32A38) Matrix exponential and similar functions of matrices (15A16) Oka principle and Oka manifolds (32Q56) Kazhdan's property (T), the Haagerup property, and generalizations (22D55)

Cites Work

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• Holomorphic factorization of mappings into \(\mathrm{SL}_n(\mathbb{C})\)
• On the bass stable rank of Stein algebras
• Kazhdan's property T for the symplectic group over a ring
• Factorization by elementary matrices, null-homotopy and products of exponentials for invertible matrices over rings
• On exponential factorizations of matrices over Banach algebras
• Optimal unit triangular factorization of symplectic matrices
• On Kazhdan's property (T) for the special linear group of holomorphic functions
• On the structure of the \(GL_ 2\) of a ring
• On the number of factors in the unipotent factorization of holomorphic mappings into $SL_{2}(\mathbb{C})$
• Exponential factorizations of holomorphic maps
• Stein Manifolds and Holomorphic Mappings
• Locally multiplicatively-convex topological algebras

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