The automorphism group of the irrational rotation \(C^*\)-algebra

DOI10.1007/BF02100047zbMath0895.46029MaRDI QIDQ1308449

Mikael Rørdam, George A. Elliott

Publication date: 8 December 1993

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

simple \(C^*\)-algebrairrational rotation \(C^*\)-algebraextension of a topologically simple groupinductive limit of circle algebrasstructure of the automorphism group

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) Classifications of (C^*)-algebras (46L35) Automorphisms of selfadjoint operator algebras (46L40)

Related Items

The Generalized CCR: Representations and Enveloping C*-Algebra, Classification of spin structures on the noncommutative \(n\)-torus, Simplicity of the projective unitary group of the multiplier algebra of a simple stable nuclear \(C^*\)-algebra, Unnamed Item, Simplicity, bounded normal generation, and automatic continuity of groups of unitaries, Fixed point subalgebras of rational higher-dimensional non-commutative tori, Ext and OrderExt Classes of Certain Automorphisms of C^*-Algebras Arising from Cantor Minimal Systems, The automorphism group of a simple tracially AI algebra, Closed convex hulls of unitary orbits in \({C^{\ast}_{r}(\mathbb{F}_{\infty})}\), A noncommutative sigma-model, The Ext class of an approximately inner automorphism, $C^{*}$-algebras associated with real multiplication, The automorphism group of a simple $\mathcal {Z}$-stable $C^{*}$-algebra, Normal subgroups of invertibles and of unitaries in a \(C^\ast\)-algebra, Limits of certain subhomogeneous $C^*$-algebras, The fundamental group of the automorphism group of a noncommutative torus

Cites Work

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• DIMENSION GROUPS WITH TORSION
• On Inductive Limits of Matrix Algebras over the Two-Torus