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Longer titles found: Spectrum of a C*-algebra (view), Nuclear C*-algebra (view), Approximately finite-dimensional C*-algebra (view), Universal C*-algebra (view), Graph C*-algebra (view), Exact C*-algebra (view), Projectionless C*-algebra (view), K-graph C*-algebra (view), Universal representation (C*-algebra) (view), Spectral theory of normal C*-algebras (view), Ultragraph C*-algebra (view), Real rank (C*-algebras) (view)

searching for C*-algebra 27 found (203 total)

alternate case: c*-algebra

Noncommutative quantum field theory (1,070 words) [view diff] no match in snippet view article find links to article

$x^{\mu}$ and $x^{\nu}$ are the hermitian generators of a noncommutative $C^*$-algebra of "functions on spacetime". That means that (with any given set of axes)
Locally compact space (2,528 words) [view diff] exact match in snippet view article find links to article
functions on X that vanish at infinity is a commutative C*-algebra. In fact, every commutative C*-algebra is isomorphic to C0(X){\displaystyle C_{0}(X)} for
Bhatia–Davis inequality (491 words) [view diff] no match in snippet view article find links to article
is a positive and unital linear mapping of a C* -algebra A{\displaystyle {\mathcal {A}}} into a C* -algebra B{\displaystyle {\mathcal {B}}}, and A is a
Circulant matrix (2,433 words) [view diff] no match in snippet view article find links to article
C∗{\displaystyle C^{*}}-algebra of all circulant matrices with complex entries is isomorphic to the group C∗{\displaystyle C^{*}}-algebra of Z/nZ.{\displaystyle
Quantum Markov chain (201 words) [view diff] exact match in snippet view article find links to article
positive trace-preserving map, and B {\displaystyle {\mathcal {B}}} a C*-algebra of bounded operators. The pair must obey the quantum Markov condition
Isometry (2,301 words) [view diff] exact match in snippet view article find links to article
generalization. One may also define an element in an abstract unital C*-algebra to be an isometry:  a∈A {\displaystyle \ a\in {\mathfrak {A}}\ } is an
Hypercomplex number (3,030 words) [view diff] no match in snippet view article find links to article
e0 of A such that e02 = −1 is isomorphic to C{\displaystyle \mathbb {C} } (algebra of complex numbers), any two-dimensional subalgebra generated by an
Mikael Rørdam (609 words) [view diff] exact match in snippet view article find links to article
1007/978-3-662-04825-2_1. ISBN 978-3-642-07605-3. Rørdam, Mikael (2003). "A simple C*-algebra with a finite and an infinite projection". Acta Mathematica. 191 (1):
Serre–Swan theorem (1,025 words) [view diff] exact match in snippet view article find links to article
ProjMod(C(X)) be the category of finitely generated projective modules over the C*-algebra C(X). There is a functor Γ : Vec(X) → ProjMod(C(X)) which sends each complex
Kaplansky's conjectures (1,061 words) [view diff] exact match in snippet view article find links to article
as the Kadison–Kaplansky conjecture, for elements in the reduced group C*-algebra. In this setting, it is known that if the Farrell–Jones conjecture holds
Formal distribution (1,067 words) [view diff] no match in snippet view article find links to article
In mathematics, a formal distribution is an infinite sum of powers of a formal variable, usually denoted z{\displaystyle z} in the theory of formal distributions
Noncommutative algebraic geometry (1,709 words) [view diff] no match in snippet view article find links to article
geometry one often defines Proj in the following fashion: Let R be a graded C-algebra, and let Mod-R denote the category of graded right R-modules. Let F denote
Frobenius theorem (real division algebras) (1,209 words) [view diff] no match in snippet view article
commutative division algebras are R and C. Also note that H is not a C-algebra. If it were, then the center of H has to contain C, but the center of
Double groupoid (1,535 words) [view diff] exact match in snippet view article find links to article
Part I of the book by Brown, Higgins, Sivera listed below. A convolution C*-algebra of a double groupoid can also be constructed by employing the square diagram
Idealizer (530 words) [view diff] exact match in snippet view article find links to article
residuated lattice of ideals of R. Examples The multiplier algebra M(A) of a C*-algebra A is isomorphic to the idealizer of π(A) where π is any faithful nondegenerate
Ring of modular forms (1,061 words) [view diff] no match in snippet view article find links to article
In other words, Mk(Γ) is isomorphic as a C {\displaystyle \mathbb {C} } -algebra to C [ E 4 , E 6 ] {\displaystyle \mathbb {C} [E_{4},E_{6}]} , which
Locally profinite group (883 words) [view diff] no match in snippet view article find links to article
becomes not necessarily unital associative C{\displaystyle \mathbb {C} }-algebra. It is called the Hecke algebra of G and is denoted by H(G){\displaystyle
Tannaka–Krein duality (1,411 words) [view diff] exact match in snippet view article find links to article
conjugates a subcategory having subobjects and direct sums, such that the C*-algebra of endomorphisms of the monoidal unit contains only scalars. Gelfand–Naimark
Cholesky decomposition (6,855 words) [view diff] no match in snippet view article find links to article
Mn(C){\displaystyle M_{n}(\mathbb {C} )} equipped with the operator norm is a C* algebra. So (Lk)k{\displaystyle \left(\mathbf {L} _{k}\right)_{k}} is a bounded
Matrix exponential (8,887 words) [view diff] no match in snippet view article find links to article
{\displaystyle e^{tA}=s_{0}(t)\,I+s_{1}(t)\,A.} (For any complex number z and any C-algebra B, we denote again by z the product of z by the unit of B.) Let α and
Asymptotic dimension (1,547 words) [view diff] exact match in snippet view article find links to article
Property A introduced in and equivalent to the exactness of the reduced C*-algebra of the group. If G {\displaystyle G} is a word-hyperbolic group then asdim
Andreas Thom (mathematician) (450 words) [view diff] case mismatch in snippet view article
Joachim Cuntz and thesis Connective E-Theory and Bivariant Homology for C*-Algebra. He was a Postdoc 2003–2005 at the University of Münster, and 2005–2007
Perron–Frobenius theorem (7,968 words) [view diff] exact match in snippet view article find links to article
matrix) Positive operator – self-adjoint (or Hermitian) element A of a C*-algebra A is called positive if its spectrum σ (A) consists of non-negative real
Cotangent complex (4,545 words) [view diff] no match in snippet view article find links to article
augmentation maps. This map is constructed by choosing a free simplicial C-algebra resolution of D, say s:Q∙→D.{\displaystyle s:Q^{\bullet }\to D.} Because
Representation theory of finite groups (20,045 words) [view diff] no match in snippet view article find links to article
conjugation. The set of all class functions is a C{\displaystyle \mathbb {C} }–algebra and is denoted by Cclass(G){\displaystyle \mathbb {C} _{\text{class}}(G)}
Oscillator representation (19,823 words) [view diff] no match in snippet view article find links to article
301S, doi:10.1007/bf01208274, S2CID 121367853 Sohrab, H. H. (1981), "The C∗-algebra of the n-dimensional harmonic oscillator", Manuscripta Mathematica, 34:
Symmetric cone (16,254 words) [view diff] no match in snippet view article find links to article
\displaystyle {\|ab\|\leq \|a\|\cdot \|b\|.}} It follows that EC is a Jordan C* algebra. The complexification of a simple Euclidean Jordan algebra is a simple