Rotation numbers for automorphisms of \(C^ *\)-algebras

DOI10.2140/pjm.1987.127.31zbMath0579.46039OpenAlexW2031965066MaRDI QIDQ1067177

Ruy Exel

Publication date: 1987

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1987.127.31

zbMATH Keywords

determinantdiscrete Heisenberg groupactions of groups of automorphismsaffine homeomorphisms of connected groupsalmost periodic automorphisms of \(C^ *\) algebrasrange of a trace on the \(K_ 0\)-group of a crossed product algebra by \({\mathbb Z}\)rotation number for an automorphism of a \(C^ *\) algebratraced \(C^ *\) algebras

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) General theory of (C^*)-algebras (46L05) Algebraic (K)-theory and (L)-theory (category-theoretic aspects) (18F25) Automorphisms of selfadjoint operator algebras (46L40)

Related Items (9)

Cancellation and stable rank for direct limits of recursive subhomogeneous algebras ⋮ Eigenvalues and strong orbit equivalence ⋮ The automorphism group of a simple tracially AI algebra ⋮ COMPUTING CONTINGENCIES FOR STABLE RELATIONS ⋮ Cellular filtration of K-theory and determinants of $C^*$-algebras ⋮ Lifting \(KK\)-elements, asymptotic unitary equivalence and classification of simple C\(^*\)-algebras ⋮ Examples of different minimal diffeomorphisms giving the same \(C^*\)-algebras ⋮ A trace on fractal graphs and the Ihara zeta function ⋮ The trace on the \(K\)-theory of group \(C^*\)-algebras

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