Indecomposable characters of infinite dimensional groups associated with operator algebras

Takumi ENOMOTO; Masaki IZUMI

doi:10.2969/jmsj/06831231

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July, 2016 Indecomposable characters of infinite dimensional groups associated with operator algebras

Takumi ENOMOTO, Masaki IZUMI

J. Math. Soc. Japan 68(3): 1231-1270 (July, 2016). DOI: 10.2969/jmsj/06831231

Abstract

We determine the indecomposable characters of several classes of infinite dimensional groups associated with operator algebras, including the unitary groups of arbitrary unital simple AF algebras and II₁ factors.

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Takumi ENOMOTO. Masaki IZUMI. "Indecomposable characters of infinite dimensional groups associated with operator algebras." J. Math. Soc. Japan 68 (3) 1231 - 1270, July, 2016. https://doi.org/10.2969/jmsj/06831231