Hilbert \(C^*\)-modules related to discrete metric spaces

DOI10.3103/S1066369X21050078zbMath1481.46057arXiv2105.03764OpenAlexW3170277061MaRDI QIDQ2041613

Vladimir M. Manuilov

Publication date: 23 July 2021

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.03764

zbMATH Keywords

\(C^*\)-algebrametric spaceHilbert \(C^*\)-moduleRoe algebradual Hilbert \(C^*\)-module

Mathematics Subject Classification ID

(C^*)-modules (46L08) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Lipschitz and coarse geometry of metric spaces (51F30)

Cites Work

• Unnamed Item
• Noncommutative Cartan subalgebras of C*-algebras
• A reflexivity criterion for Hilbert C*-modules over commutative C*-algebras
• Large scale geometry
• Hilbert \(C^*\) and \(W^*\)-modules and their morphisms
• Self-duality and \(C^*\)-reflexivity of Hilbert \(C^*\)-moduli
• Metrics on doubles as an inverse semigroup. II
• Roe bimodules as morphisms of discrete metric spaces
• The Double B-Dual Of An Inner Product Module Over a C*-Algebra B
• Hilbert C*‐Modules over Monotone Complete C*‐Algebras
• Inner Product Modules Over B ∗ -Algebras

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