Quillen's work on the foundations of cyclic cohomology
Joachim Cuntz
TL;DR
This paper surveys Quillen's significant contributions to cyclic homology, highlighting his foundational work that advanced the understanding of cyclic cohomology and its mathematical structure.
Contribution
It provides a comprehensive overview of Quillen's independent and joint work, emphasizing his foundational impact on cyclic homology.
Findings
Clarified the algebraic structures underlying cyclic homology
Connected cyclic homology with Quillen's model category theory
Enhanced the theoretical framework of cyclic cohomology
Abstract
We give a survey of Quillen's contributions, apart from the very first joint paper with Loday, to the area of cyclic homology.
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