eBook ISBN:  9780821876282 
Product Code:  CONM/43.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 
eBook ISBN:  9780821876282 
Product Code:  CONM/43.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 

Book DetailsContemporary MathematicsVolume: 43; 1985; 277 ppMSC: Primary 16
Ring theorists and researchers in invariant theory and operator algebra met at Bowdoin for the 1984 AMSIMSSIAM 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: \(K\)theory, dual actions, semiinvariants, 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.

Table of Contents

Articles

Hyman Bass — Algebraic group actions on affine spaces [ MR 810640 ]

George M. Bergman — Everybody knows what a Hopf algebra is [ MR 810641 ]

Miriam Cohen — Hopf algebras acting on semiprime algebras [ MR 810642 ]

Warren Dicks — Automorphisms of the free algebra of rank two [ MR 810643 ]

Daniel R. Farkas — Toward multiplicative invariant theory [ MR 810644 ]

Joe W. Fisher — Invariants of finite linear groups acting on relatively free algebras: a survey [ MR 810645 ]

Edward Formanek — Noncommutative invariant theory [ MR 810646 ]

Robert M. Fossum — Invariants and formal group law actions [ MR 810647 ]

David Handelman — Classification of compact group actions on locally semisimple algebras [ MR 810648 ]

Richard H. Herman — The Rohlin property for automorphisms of UHF $C^\ast $algebras [ MR 810649 ]

Melvin Hochster — Invariant theory of commutative rings [ MR 810650 ]

V. F. R. Jones — Index for subrings of rings [ MR 810651 ]

Susan Montgomery — Duality for actions and coactions of groups [ MR 810652 ]

D. S. Passman — Algebraic crossed products [ MR 810653 ]

N. Christopher Phillips — $K$theoretic freeness of finite group actions on $C^\ast $algebras [ MR 810654 ]

Idun Reiten — Skew group rings in the computation of Grothendieck groups and in the representation theory of Artin algebras [ MR 810655 ]

Marc A. Rieffel — $K$theory of crossed products of $C^\ast $algebras by discrete groups [ MR 810656 ]

David J. Saltman — Groups acting on fields: Noether’s problem [ MR 810657 ]


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Ring theorists and researchers in invariant theory and operator algebra met at Bowdoin for the 1984 AMSIMSSIAM 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: \(K\)theory, dual actions, semiinvariants, 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.

Articles

Hyman Bass — Algebraic group actions on affine spaces [ MR 810640 ]

George M. Bergman — Everybody knows what a Hopf algebra is [ MR 810641 ]

Miriam Cohen — Hopf algebras acting on semiprime algebras [ MR 810642 ]

Warren Dicks — Automorphisms of the free algebra of rank two [ MR 810643 ]

Daniel R. Farkas — Toward multiplicative invariant theory [ MR 810644 ]

Joe W. Fisher — Invariants of finite linear groups acting on relatively free algebras: a survey [ MR 810645 ]

Edward Formanek — Noncommutative invariant theory [ MR 810646 ]

Robert M. Fossum — Invariants and formal group law actions [ MR 810647 ]

David Handelman — Classification of compact group actions on locally semisimple algebras [ MR 810648 ]

Richard H. Herman — The Rohlin property for automorphisms of UHF $C^\ast $algebras [ MR 810649 ]

Melvin Hochster — Invariant theory of commutative rings [ MR 810650 ]

V. F. R. Jones — Index for subrings of rings [ MR 810651 ]

Susan Montgomery — Duality for actions and coactions of groups [ MR 810652 ]

D. S. Passman — Algebraic crossed products [ MR 810653 ]

N. Christopher Phillips — $K$theoretic freeness of finite group actions on $C^\ast $algebras [ MR 810654 ]

Idun Reiten — Skew group rings in the computation of Grothendieck groups and in the representation theory of Artin algebras [ MR 810655 ]

Marc A. Rieffel — $K$theory of crossed products of $C^\ast $algebras by discrete groups [ MR 810656 ]

David J. Saltman — Groups acting on fields: Noether’s problem [ MR 810657 ]