Notes on the bicategory of \(\mathrm{W}^\ast\)-bimodules

DOI10.2969/jmsj/78387838zbMath1435.46045arXiv1705.05600OpenAlexW2964262325MaRDI QIDQ2317147

Yusuke Sawada, Shigeru Yamagami

Publication date: 8 August 2019

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

Full work available at URL: https://arxiv.org/abs/1705.05600

zbMATH Keywords

involutionbicategory\(\mathrm{W}^\ast\)-bimodule

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25) 2-categories, bicategories, double categories (18N10)

Related Items (4)

Q-system completion for \(C^\ast 2\)-categories ⋮ Representations of fusion categories and their commutants ⋮ A Connes correspondence approach to the dilation theory ⋮ Minimal index and dimension for 2-\(C^*\)-categories with finite-dimensional centers

Cites Work

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• \(W^ *\)-categories
• Spherical categories
• Algebraic aspects in modular theory
• Modular theory for bimodules
• Around trace formulas in non-commutative integration
• Theory of operator algebras. II
• Notes on operator categories
• The standard form of von Neumann algebras.

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