A Hitchhiker's Guide to Endomorphisms and Automorphisms of Cuntz Algebras
Copyright policy )A Hitchhiker's Guide to Endomorphisms and Automorphisms of Cuntz Algebras
In this survey paper, the authors discuss various aspects of Cuntz algebras, concentrating primarily on endomorphisms and automorphisms. The authors nicely summarize many known results and provide an extensive list of open problems. Chapter 1 is an overview of the paper. Chapter 2 contains the definition of Cuntz algebras and describes some of their properties. Chapter 3 deals with automorphisms, and Chapter 4 discusses connections with Thompson groups. Chapter 5 is a detour into Cuntz algebras and wavelets. Chapter 6 is concerned with the index and entropy of endomorphisms of Cuntz algebras, and Chapter 7 looks at fixed points of endomorphisms. Chapter 8 explores the relationships among Cuntz algebras, physics, KMS states, and noncommutative geometry. Finally, Chapter 9 defines the \(2\)-adic ring \(C^*\)-algebra, and Chapter 10 considers the more general notion of \(p\)-adic ring \(C^*\)-algebras.
p-adic ring C*-algebras, index, cuntz algebras, automorphisms, 2-adic ring c∗-algebra, knots, Thompson groups, QA1-939, Thompson group, noncommutative geometry, Noncommutative dynamical systems, 2-adic ring C*-algebra, Automorphisms of selfadjoint operator algebras, \(p\)-adic ring \(C^\ast\)-algebras, Cuntz algebras, representations, Noncommutative topology, 2-adic ring C; ∗; -Algebra; Automorphisms; C; ∗; -algebras; Cuntz algebras; Endomorphisms; Entropy; Index; Knots; Noncommutative geometry; P-adic ring C; ∗; -algebras; Representations; Thompson groups, C*-algebras, General theory of \(C^*\)-algebras, endomorphisms, p-adic ring c∗-algebras, c∗-algebras, entropy, Mathematics, thompson groups
p-adic ring C*-algebras, index, cuntz algebras, automorphisms, 2-adic ring c∗-algebra, knots, Thompson groups, QA1-939, Thompson group, noncommutative geometry, Noncommutative dynamical systems, 2-adic ring C*-algebra, Automorphisms of selfadjoint operator algebras, \(p\)-adic ring \(C^\ast\)-algebras, Cuntz algebras, representations, Noncommutative topology, 2-adic ring C; ∗; -Algebra; Automorphisms; C; ∗; -algebras; Cuntz algebras; Endomorphisms; Entropy; Index; Knots; Noncommutative geometry; P-adic ring C; ∗; -algebras; Representations; Thompson groups, C*-algebras, General theory of \(C^*\)-algebras, endomorphisms, p-adic ring c∗-algebras, c∗-algebras, entropy, Mathematics, thompson groups
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