Operator Algebras and Their Modules: An Operator Space Approach
By D. Blecher, Christian Le Merdy. 2005
529 citations recorded by the source corpus.
View Paper: https://www.semanticscholar.org/paper/8463a4e8ba50abec3b0f0b92c212b0261eafdaa0
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Citations in the corpus
- Crossed products of $L^p$ operator algebras and the K-theory of Cuntz algebras on $L^p$ spaces (2013, background): “24 of [3], we see that the map M2 ⊗ E2 →M2 ⊗ F2 is not isometric.”
- Tensor algebras of C∗-correspondences and their C∗-envelopes (2005, background): “The main result of this paper implies that T +X is also completely isometrically isomorphic to alg(πA, tX ).”
- Tensor Products of C*-Algebras and Operator Spaces (2020, background): “For more information on all questions involving operator spaces or algebras and dual topologies, we refer the reader to [27].”
- Every convex free basic semi-algebraic set has an LMI representation (2012, background): “The resulting theory of operator algebras, systems, spaces, and matrix convex sets has matured to the point that there are now several excellent books on the subject including [BLM04], [Pau02], [Pis03].”
- Operator Algebras for Multivariable Dynamics (2007, background): “See [6, 42] for a thorough treatment of these issues.”
- Hereditary subalgebras of operator algebras (2005, background): “8 in [11] for example, this is equivalent to: T (et) → 1B weak* for some contractive approximate identity (et) of A; and is also equivalent to the same statement with ‘some’ replaced by ‘every’.”
- Khintchine type inequalities for reduced free products and applications (2005, background): “w to extend the previous results to amalgamated free products. We start with someconsiderationsabout the amalgamatedHaageruptensorproduct and Hilbert C∗-modules. A good reference for this material is [3]. For simplicity, we will always assume that all C∗-algebras are unital and all modules are full.”