Why the circle is connected: An introduction to quantized topology

DOI10.1007/BF03023772zbMath0673.46043OpenAlexW2066502181MaRDI QIDQ1120800

Edward G. Effros

Publication date: 1989

Published in: The Mathematical Intelligencer (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03023772

zbMATH Keywords

quantum geometryconnectednon-commutative differential topologyregular representation of the free group of two generatorsthe quantized torus

Mathematics Subject Classification ID

Free probability and free operator algebras (46L54) (K)-theory and operator algebras (including cyclic theory) (46L80) General theory of (C^*)-algebras (46L05) Noncommutative probability and statistics (46L53) Noncommutative measure and integration (46L51) Algebraic properties of function spaces in general topology (54C40)

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Cites Work

• Non-commutative differential geometry
• Simplicity of the \(C^*\)-algebra associated with the free group on two generators
• K-theoretic amenability for discrete groups.
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