The C*-algebra of the exponential function
Klaus Thomsen

TL;DR
This paper investigates the C*-algebra associated with the complex exponential function and its conjugate, deriving explicit descriptions based on their properties as local homeomorphisms and étale groupoids.
Contribution
It explicitly determines the C*-algebra generated by the exponential function and its conjugate, expanding understanding of their algebraic structures.
Findings
Explicit description of the C*-algebra for the exponential function
Analysis of the C*-algebra for the conjugate exponential function
Connection between local homeomorphism properties and algebraic structures
Abstract
The complex exponential function is a local homeomorphism and gives therefore rise to an 'etale groupoid and a C*-algebra. We determine this algebra, as well as the alge bra of the complex conjugate of the exponential function.
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Taxonomy
TopicsAdvanced Operator Algebra Research · Advanced Topics in Algebra · Quantum Mechanics and Applications
