1.

Record Nr.

UNINA9910480698903321

Autore

Jones Vaughan F. R. <1952->

Titolo

Actions of finite groups on the hyperfinite type II[subscript 1] factor / / Vaughan F.R. Jones

Pubbl/distr/stampa

Providence, Rhode Island : , : American Mathematical Society, , [1980]

©1980

ISBN

1-4704-0641-1

Descrizione fisica

1 online resource (79 p.)

Collana

Memoirs of the American Mathematical Society, , 0065-9266 ; ; number 237

Disciplina

510 s

512/.55

Soggetti

C*-algebras

Finite groups

Representations of groups

Electronic books.

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

"Volume 28 ... end of volume."

Originally presented as the author's thesis, University of Geneva.

Nota di bibliografia

Bibliography: pages 68-70.

Nota di contenuto

""CONTENTS""; ""CHAPTER 1: THE INVARIANTS, STATEMENT OF THE MAIN THEOREM""; ""1.1 Notation""; ""1.2 The characteristic Invariant""; ""1.3 The Algebra C[sub(u)]N""; ""1.4 The Inner invariant, the main theorem""; ""1.5 Equivariant s.m.u. 's and model actions""; ""CHAPTER 2: THE FIXED POINT ALGEBRA AND THE CROSSED PRODUCT""; ""2.1 The fixed point algebra M[sup(G)]""; ""2.2 The crossed product W* (M,G)""; ""CHAPTER 3: COCYCLES AND MATRIX UNITS""; ""3.1 Cocycles and coboundaries""; ""3.2 Three technical lemmas""; ""3.3 Approximate unitary cocycles""

""3.4 Equivariant s.m.u. 's and perturbations thereof""""CHAPTER 4: Q�KERNELS AND ALL THAT""; ""4.1 Q�Kernels""; ""4.2 All that""; ""4.3 A result on extensions""; ""CHAPTER 5: CONJUGACY OF OUTER ACTIONS""; ""5.1 Central sequences and ultrafilters""; ""5.2 A tensor product factorization""; ""5.3 Conjugacy of outer actions""; ""CHAPTER 6: STABLE CONJUGACY AND THE MAIN THEOREM""; ""6.1 Actions with zero characteristic invariant""; ""6.2 Stable conjugacy""; ""6.3 Proof of



the main theorem""; ""CHAPTER 7: APPLICATIONS""; ""7.1 Classification of injective Q�kernels""; ""7.2 Weak equivalence""

""7.3 The case N central in G""""7.4 Three examples""