Group actions on rings
著者
書誌事項
Group actions on rings
（Contemporary mathematics, v. 43）
American Mathematical Society, c1985
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注記
"Proceedings of the AMS-IMS-SIAM Joint Summer Research Conference on Group Actions on Rings, held at Bowdoin College in Brunswick, Maine, July 8-14, 1984"--Introd
Includes bibliographies
内容説明・目次
内容説明
Ring theorists and researchers in invariant theory and operator algebra met at Bowdoin for the 1984 AMS-IMS-SIAM Joint Summer Research Conference to exchange ideas about group actions on rings and to stimulate general interaction among their various fields. Collecting together the proceedings of that meeting, this interdisciplinary volume reveals many topics common to the three fields, including: $K$-theory, dual actions, semi-invariants, and crossed products. A high percentage of the papers here are expository; of particular significance are the papers by the four survey lecturers, Edward Formanek on noncommutative invariant theory; Melvin Hochster on invariant theory of commutative rings; D. S. Passman on algebraic crossed products; and, Marc A. Reiffel on $K$-theory of crossed products of $C*$-algebras by discrete groups.
目次
Algebraic group actions on affine spaces by H. Bass Everybody knows what a Hopf algebra is by G. M. Bergman Hopf algebras acting on semiprime algebras by M. Cohen Automorphisms of the free algebra of rank two by W. Dicks Toward multiplicative invariant theory by D. R. Farkas Invariants of finite linear groups acting on relatively free algebras: a survey by J. W. Fisher Noncommutative invariant theory by E. Formanek Invariants and formal group law actions by R. M. Fossum Classification of compact group actions on locally semisimple algebras by D. Handelman The Rohlin property for automorphism of UHF $C^*$-algebras by R. H. Herman Invariant theory of commutative rings by M. Hochster Index for subrings of rings by V. F. R. Jones Duality for actions and coactions of groups by S. Montgomery Algebraic crossed products by D. S. Passman $K$-theoretic freeness of finite group actions on $C^*$-algebras by N. C. Phillips Skew group rings in the computation of Grothendieck groups and in the representation theory of Artin algebras by I. Reiten $K$-theory of crossed products of $C^*$-algebras by discrete groups by M. A. Reiffel Groups acting on fields: Noether's problem by D. J. Saltman.
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