Recent developments in the theory of unbounded derivations in C*-algebras

Lecture Notes in Mathematics - C*-Algebras and Applications to Physics ◽

10.1007/bfb0067391 ◽

1978 ◽

pp. 85-122 ◽

Cited By ~ 5

Author(s):

Shôichirô Sakai

Keyword(s):

C Algebras ◽

Recent Developments ◽

Unbounded Derivations

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THE CLASSIFICATION PROBLEM FOR AUTOMORPHISMS OF C*-ALGEBRAS

Bulletin of Symbolic Logic ◽

10.1017/bsl.2015.37 ◽

2015 ◽

Vol 21 (4) ◽

pp. 402-424 ◽

Cited By ~ 1

Author(s):

MARTINO LUPINI

Keyword(s):

Complexity Theory ◽

Classification Problem ◽

C Algebras ◽

Borel Complexity ◽

Recent Developments

AbstractWe present an overview of the recent developments in the study of the classification problem for automorphisms of C*-algebras from the perspective of Borel complexity theory.

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CROSSED PRODUCT C*-ALGEBRAS AND ALGEBRAIC TOPOLOGY

Reviews in Mathematical Physics ◽

10.1142/s0129055x96000202 ◽

1996 ◽

Vol 08 (04) ◽

pp. 623-637

Author(s):

JUDITH A. PACKER

Keyword(s):

Algebraic Topology ◽

Equivariant Cohomology ◽

Automorphism Groups ◽

Crossed Product ◽

Fiber Bundles ◽

Topological Invariants ◽

C Algebras ◽

Recent Developments ◽

Continuous Trace ◽

Cech Cohomology

We discuss some recent developments that illustrate the interplay between the theory of crossed products of continuous trace C*-algebras and algebraic topology, summarizing results relating topological invariants coming from the theory of fiber bundles to continuous trace C*-algebras and their automorphism groups and the structure of the associated crossed product C*-algebras. This survey article starts from the classical theory of Dixmier, Douady, and Fell, and discusses the more recent work of Echterhoff, Phillips, Raeburn, Rosenberg, and Williams, among others. The topological invariants involved are Čech cohomology, the cohomology of locally compact groups with Borel cochains of C. Moore, and the recently introduced equivariant cohomology theory of Crocker, Kumjian, Raeburn and Williams.

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