Crossed products by Z of algebras arising from reduced free group C *-algebras

2010 ◽  
Vol 43 (1) ◽  
pp. 188-190
Author(s):  
Catalin Rada
Keyword(s):  
Free Group ◽  
Crossed Products ◽  
C Algebras

scholarly journals Boundary Action On Simple Reduced Group C*-Algebras

2021 ◽  
Vol 03 (01) ◽  
pp. 1-15
Author(s):  
V.A. Onuche ◽  
◽  
T.J Alabiand ◽  
O.F. Ajayi ◽  
◽  
...  
Keyword(s):  
Simple Group ◽  
Free Group ◽  
Discrete Group ◽  
Crossed Products ◽  
Ideal Structure ◽  
Stability Properties ◽  
C Algebras ◽  
Reduced Group ◽  
The Stability

A connection between boundary actions, ideal structure of reduced crossed products and C*-simple group is imminent.We investigate the stability properties for discrete group pioneered by powers and show that the non-abelian free group on two generators is C*-simple.Kalantar and Kennedy [32, Theorem 6.2] is now extended. Some examples are given using characterization of C*-simplicity obtained by Kalantar, Kennedy, Breuillard, and Ozawa [10, Theorem 3.1]

scholarly journals Self-similar graph $C^*$-algebras and partial crossed products

2016 ◽  
Vol 75 (2) ◽  
pp. 299-317 ◽  
Author(s):  
Ruy Exel ◽  
Starling Starling
Keyword(s):  
Crossed Products ◽  
C Algebras ◽  
Self Similar

scholarly journals Extension problems and non-Abelian duality for C*-algebras

2007 ◽  
Vol 75 (2) ◽  
pp. 229-238 ◽  
Author(s):  
Astrid an Huef ◽  
S. Kaliszewski ◽  
Iain Raeburn
Keyword(s):  
Compact Group ◽  
Unitary Representation ◽  
Closed Subgroup ◽  
Locally Compact Group ◽  
Crossed Product ◽  
Crossed Products ◽  
Test Question ◽  
Locally Compact ◽  
Dual Representation ◽  
C Algebras

Suppose that H is a closed subgroup of a locally compact group G. We show that a unitary representation U of H is the restriction of a unitary representation of G if and only if a dual representation Û of a crossed product C*(G) ⋊ (G/H) is regular in an appropriate sense. We then discuss the problem of deciding whether a given representation is regular; we believe that this problem will prove to be an interesting test question in non-Abelian duality for crossed products of C*-algebras.

scholarly journals Homogeneous C*-algebras whose spectra are tori

1985 ◽  
Vol 38 (1) ◽  
pp. 9-39 ◽  
Author(s):  
Shaun Disney ◽  
Iain Raeburn
Keyword(s):  
Isomorphism Class ◽  
Homotopy Theory ◽  
Transformation Group ◽  
Crossed Products ◽  
C Algebras ◽  
Isomorphism Classes ◽  
Twisted Group

AbstractBy a theorem of Fell and Tomiyama-Takesaki, an N-homogeneous C*-algebra with spectrum X has the form Γ(E) for some bundle E over X with fibre MN(C), and its isomorphism class is determined by that of E and its pull-backs f*E along homeomorphisms f of X. We describe the homogeneous C*-algebras with spectrum T2 or T3 by classifying the MN-bundles over Tk using elementary homotopy theory. We then use our results to determine the isomorphism classes of a variety of transformation group C*-algebras, twisted group C*-algebras and more general crossed products.

scholarly journals Crossed products of C*-algebras by *-endomorphisms

1993 ◽  
Vol 54 (2) ◽  
pp. 204-212 ◽  
Author(s):  
P. J. Stacey
Keyword(s):  
Universal Property ◽  
Crossed Products ◽  
C Algebras ◽  
Covariant Representations

AbstractCrossed products of C*-algebras by *-endomorphisms are defined in terms of a universal property for covariant representations implemented by families of isometries and some elementary properties of covariant representations and crossed products are obtained.

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