scholarly journals On multipliers of Hilbert modules over pro-C*-algebras

2008 ◽  
Vol 185 (3) ◽  
pp. 263-277 ◽  
Author(s):  
Maria Joiţa
Keyword(s):  
Hilbert Modules ◽  
C Algebras

Notes on twisted equivariant K-theory for C*-algebras

2016 ◽  
Vol 27 (06) ◽  
pp. 1650058 ◽  
Author(s):  
Yosuke Kubota
Keyword(s):  
Topological Insulators ◽  
Banach Algebras ◽  
Hilbert Modules ◽  
Fredholm Operators ◽  
C Algebras ◽  
K Theory

In this paper, we study a generalization of twisted (groupoid) equivariant K-theory in the sense of Freed–Moore for [Formula: see text]-graded [Formula: see text]-algebras. It is defined by using Fredholm operators on Hilbert modules with twisted representations. We compare it with another description using odd symmetries, which is a generalization of van Daele’s K-theory for [Formula: see text]-graded Banach algebras. In particular, we obtain a simple presentation of the twisted equivariant K-group when the [Formula: see text]-algebra is trivially graded. It is applied for the bulk-edge correspondence of topological insulators with CT-type symmetries.

scholarly journals Dynamical systems on Hilbert modules over locally C*-algebras

2018 ◽  
Vol 42 (2) ◽  
pp. 239-247
Author(s):  
L. Naranjani ◽  
M. Hassani ◽  
M. Amyari
Keyword(s):  
Dynamical Systems ◽  
Hilbert Modules ◽  
C Algebras

scholarly journals Projective multi-resolution analyses arising from direct limits of Hilbert modules

2007 ◽  
Vol 100 (2) ◽  
pp. 317 ◽  
Author(s):  
Nadia S. Larsen ◽  
Iain Raeburn
Keyword(s):  
Directed Graph ◽  
Hilbert Spaces ◽  
Path Space ◽  
Hilbert Modules ◽  
C Algebras ◽  
Infinite Path ◽  
Direct Limits ◽  
New Applications ◽  
Shed Light

The authors have recently shown how direct limits of Hilbert spaces can be used to construct multi-resolution analyses and wavelets in $L^2(\mathsf R)$. Here they investigate similar constructions in the context of Hilbert modules over $C^*$-algebras. For modules over $C(\mathsf T^n)$, the results shed light on work of Packer and Rieffel on projective multi-resolution analyses for specific Hilbert $C(\mathsf T^n)$-modules of functions on $\mathsf R^n$. There are also new applications to modules over $C(C)$ when $C$ is the infinite path space of a directed graph.

scholarly journals Isomorphism of Hilbert modules over stably finite C∗-algebras

2009 ◽  
Vol 257 (1) ◽  
pp. 332-339 ◽  
Author(s):  
Nathanial P. Brown ◽  
Alin Ciuperca
Keyword(s):  
Hilbert Modules ◽  
C Algebras ◽  
Stably Finite

FRAMES IN HILBERT C*-MODULES AND MORITA EQUIVALENT C*-ALGEBRAS

2016 ◽  
Vol 59 (1) ◽  
pp. 1-10 ◽  
Author(s):  
MASSOUD AMINI ◽  
MOHAMMAD B. ASADI ◽  
GEORGE A. ELLIOTT ◽  
FATEMEH KHOSRAVI
Keyword(s):  
Hilbert Space ◽  
Tensor Product ◽  
Discrete Spectrum ◽  
Compact Operators ◽  
Morita Equivalence ◽  
Hilbert Modules ◽  
C Algebra ◽  
C Algebras ◽  
Morita Equivalent ◽  
Continuous Trace

AbstractWe show that the property of a C*-algebra that all its Hilbert modules have a frame, in the case of σ-unital C*-algebras, is preserved under Rieffel–Morita equivalence. In particular, we show that a σ-unital continuous-trace C*-algebra with trivial Dixmier–Douady class, all of whose Hilbert modules admit a frame, has discrete spectrum. We also show this for the tensor product of any commutative C*-algebra with the C*-algebra of compact operators on any Hilbert space.

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