Results 51 to 60 of about 244 (149)
, 2014 Glimm’s theorem says that a UHF algebra is almost embedded in a separable C∗-algebra not of type I. Applying his methods we obtain a covariant version of his result; a UHF algebra with a product type automorphism is covariantly embedded in such a C ...
野口, 朗
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Imitation product-type actions on UHF algebras
Journal of Algebra, 1986 Let A be an algebra given as an infinite tensor product of matrix algebras, say \(A=\otimes_ kM_{n(k)}C\), and let g be an automorphism of A of the form \(g=\otimes Ad u_ k\), where each \(u_ k\) belongs to \(M_{n(k)}C\) and \(u^ 2_ k=1\), \(u_ k=u^*_ k\). Then the fixed point algebra \(A^ g=\{a\in A|\) \(a^ g=a\}\) has at most 2 rationally independent
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On normalizers of C*-subalgebras in the Cuntz algebra O n. II
, 2015 We investigate subalgebras A of the Cuntz algebra O_n that arise as finite direct sums of corners of the UHF-subalgebra F_n.
Szymanski, Wojciech; id_orcid +1 more
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Order preserving limits of finite-dimensional nest algebras. [PDF]
, 2002 We introduce order conserving embeddings as a more general form of order preserving embeddings between finite dimensional nest algebras. The structure of these embeddings is determined, in terms of order indecomposable decompositions, and they are shown ...
Alan Hopenwasser +3 more
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Locally Constant Nonproduct-Type Cocycles
, 1998 We show that a standard Z-analytic triangular UHF algebra has a product type counting cocycle iff it is isomorphic to the odometer triangular UHF algebra.
Belisario A Ventura +3 more
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Remarks on the fixed point algebras of product type actions on UHF-algebras
Journal of the Mathematical Society of Japan, 1986 Let A be UHF-algebra and \(\alpha\) be a product type action of a finite group G on A. We obtain conditions under which the fixed point algebra \(A^ G\) for \(\alpha\) is a UHF-algebra and that the number of extremal traces on \(A^ G\) is the cardinality of an orbit space \(\hat K/\)G where K is \(\{\) \(g\in G\); \(\alpha_ g\) is inner on the ...
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Examples of One-Parameter Automorphism Groups¶of UHF Algebras [PDF]
Communications in Mathematical Physics, 2001 Examples of (strongly continuous) one-parameter groups of automorphisms of UHF C*-algebras are given. One example has the property that the infinitesimal generator does not have a union of finite-dimensional subalgebras as a core. (This solves the so-called core problem, raised by S.
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Doubles Connected Moments Expansion: A Tractable Approximate Horn-Weinstein Approach for Quantum Chemistry. [PDF]
J Chem Theory Comput, 2023 Ganoe B, Head-Gordon M.
europepmc +1 more source
The Jiang-Su algebra is strongly self-absorbing revisited
, 2020 In dieser Arbeit präsentieren wir einen kürzeren Beweis dafür, dass die Jiang-Su Algebra stark selbst-absorbierend ist. Als fundamentales Werkzeug definieren wir sogenannte unitär eingehängte Endomorphismen, dessen Existenz aus der Klassifizierung von ...
Schemaitat, A. (André-Harald)
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THE JIANG–SU ALGEBRA AS A FRAÏSSÉ LIMIT
, 2017 In this paper, we give a self-contained and quite elementary proof that the class of all dimension drop algebras together with their distinguished faithful traces forms a Fraïssé class with the Jiang–Su algebra as its limit.
SHUHEI MASUMOTO
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