Simple nuclear C*-algebras not isomorphic to their opposites

Farah Ilijas; Hirshberg Ilan

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Simple nuclear C*-algebras not isomorphic to their opposites

机译：Simple nuclear C*-algebras not isomorphic to their opposites

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摘要

We show that it is consistent with Zermelo-Fraenkel set theory with the axiom of choice (ZFC) that there is a simple nuclear nonseparable C*-algebra, which is not isomorphic to its opposite algebra. We can furthermore guarantee that this example is an inductive limit of unital copies of the Cuntz algebra O-2 or of the canonical anticommutation relations (CAR) algebra.

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来源
《Proceedings of the National Academy of Sciences of the United States of America.》 |2017年第24期|6244-6249|共6页
作者
Farah Ilijas; Hirshberg Ilan;
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作者单位

York Univ, Dept Math & Stat, N York, ON M3J 1P3, Canada;

Ben Gurion Univ Negev, Dept Math, IL-84105 Beer Sheva, Israel;

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收录信息美国《科学引文索引》(SCI);美国《生物学医学文摘》(MEDLINE);美国《化学文摘》(CA);
原文格式 PDF
正文语种英语
中图分类自然科学总论;
关键词
C*-algebras; Jensen's diamond; opposite algebra; Naimark's problem; Glimm dichotomy;

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Simple nuclear C*-algebras not isomorphic to their opposites

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