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On the primitive ideal space of radial representations of free groups

Shigeru Yamagami
Vol. 340 (2026), No. 2, 409–424
DOI: 10.2140/pjm.2026.340.409
Abstract

Radial representations of finitely generated free groups are studied. The associated C*-algebra is located between the reduced and full group C*-algebras and its primitive ideal space is described concretely as a topological space.

Dedicated to the memory of Shukoh Ishikawa
Keywords
primitive ideal, free group, radial function
Mathematical Subject Classification
Primary: 22D25, 46L45
Milestones
Received: 11 April 2025
Revised: 27 September 2025
Accepted: 15 October 2025
Published: 26 November 2025
Authors
Shigeru Yamagami
Graduate School of Mathematics
Nagoya University
Nagoya 464-8602
Japan
© 2026 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY).

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