✦ LIBER ✦

Compact Kac Algebras and Commuting Squares

✍ Scribed by Teodor Banica

Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 168 KB
Volume: 176
Category: Article
ISSN: 0022-1236
DOI: 10.1006/jfan.2000.3606

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✦ Synopsis

We consider commuting squares of finite dimensional von Neumann algebras having the algebra of complex numbers in the lower left corner. Examples include the vertex models, the spin models (in the sense of subfactor theory), and the commuting squares associated to finite dimensional Kac algebras. To any such commuting square we associate a compact Kac algebra and we compute the corresponding subfactor and its standard invariant in terms of it.

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