Group Actions on Rings.

Intro -- Table of Contents -- Introduction -- Program of the Conference -- Algebraic Group Actions on Affine Spaces -- 1. The linearization problem -- 2. The affine Cremona group GAn -- 3. Unipotent group actions -- 4. The affine cancellation problem -- 5. Fixed points -- 6. Some basic invariant theory -- 7. The affine quotient n: X → X/G -- 8. Some linearization results -- 9. The fiber spaces G vH W -- 10. The Étale Slice of Luna -- 11. Equivariant K-theory -- Everybody Knows What a Hopf Algebra Is -- Hopf Algebras Acting on Semiprime Algebras -- Automorphfsms of the Free Algebra of Rank Two -- Toward Multiplicative Invariant Theory -- Invariants of Finite Linear Groups Acting on Relatively Free Algebras: A Survey -- Noncommutative Invariant Theory -- 1. Introduction. -- 2. T-ideals and Relatively Free Rings. -- 3. The Representation Theory of GL(n,K). -- 4. Hilbert Series and Character Series of Relatively Free Algebras. -- 5. Holien's Theorem for Relatively Free Algebras. -- 6. Finite Generation of Rings of Invariants. -- 7. Relative Freeness of Rings of Invariants. -- 8. The Ring of Generic Matrices. -- 9. Homogeneous C*-algebras and Azumaya Algebras. -- Invariants and Formal Group Law Actions -- Classification of Compact Group Actions on Locally -- The Rohlin Property for Automorphisms of UHF C*-Algebras -- Invariant Theory of Commutative Rings -- Index for Subrings of Rings -- Duality for Actions and Coactions of Groups -- Algebraic Crossed Products -- K-Theoretic Freeness of Finite Group Actions on C*-Algebras -- Skew Group Rings in the Computation of Grothendieck Groups and in the Representation Theory of Artin Algebras -- K-Theory of Crossed Products of C*-Algebras by Discrete Groups -- Groups Acting on Fields: Noether's Problem.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.