Multifunctorial equivariant algebraic K-theory / Donald Yau.

Format:

Book

Author/Creator:

Yau, Donald Y. (Donald Ying), 1977- Author.

Series:

London Mathematical Society lecture note series ; 503.

London Mathematical Society lecture note series ; 503

Language:

English

Subjects (All):

K-theory.

Algebraic topology.

Physical Description:

xxxv, 451 pages : illustrations ; 23 cm.

illustration

Place of Publication:

Cambridge, United Kingdom ; New York, NY : Cambridge University Press, 2026.

Summary:

"A central question in equivariant algebraic K-theory asks whether there exists an equivariant K-theory machine from genuine symmetric monoidal G-categories to orthogonal G-spectra that preserves equivariant algebraic structures. This book answers this question positively by constructing an enriched multifunctor from the G-categorically enriched multicategory of O-pseudoalgebras to the symmetric monoidal category of orthogonal G-spectra, for a compact Lie group G and a 1-connected pseudo-commutative G-categorical operad O. As the main application of its enriched multifunctoriality, this machine preserves all equivariant algebraic structures parametrized by multicategories enriched in either G-spaces or G-categories. In addition to highly detailed proofs of all the main results, this work also reviews relevant concepts, including orthogonal G-spectra. Appendices provide the necessary background on symmetric monoidal categories, multicategories, and classifying space. Clearly written and well organized, this book will be a useful reference for researchers and graduate students for years to come."-- Provided by publisher.

Notes:

Includes bibliographical references and index.

Other Format:

Online version Yau, Donald Y. (Donald Ying), 1977- Multifunctorial equivariant algebraic k-theory

ISBN:

9781009775205

1009775200

OCLC:

1583153770

Publisher Number:

CIPO000392276