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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), Projectionless C*-algebra (view), Graph C*-algebra (view), Exact C*-algebra (view), K-graph C*-algebra (view), Universal representation (C*-algebra) (view), Ultragraph C*-algebra (view), Spectral theory of normal C*-algebras (view), Real rank (C*-algebras) (view)

searching for C*-algebra 26 found (202 total)

alternate case: c*-algebra

Noncommutative quantum field theory (1,083 words) [view diff] no match in snippet view article find links to article

are the hermitian generators of a noncommutative C ∗ {\displaystyle C^{*}} -algebra of "functions on spacetime". That means that (with any given set of

Locally compact space (2,532 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 C 0 ( X ) {\displaystyle C_{0}(X)}

Bhatia–Davis inequality (532 words) [view diff] no match in snippet view article find links to article

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

Circulant matrix (2,755 words) [view diff] no match in snippet view article find links to article

{\displaystyle C^{*}} -algebra of all circulant matrices with complex entries is isomorphic to the group C ∗ {\displaystyle C^{*}} -algebra of Z / n Z .

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 (2,325 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}}\ }

Hypercomplex number (3,141 words) [view diff] no match in snippet view article find links to article

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 (1,043 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 (1,048 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 (1,128 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 (1,712 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) (1,252 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

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

Idealizer (540 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

Locally profinite group (894 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 (1,422 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 (7,645 words) [view diff] no match in snippet view article find links to article

{\displaystyle M_{n}(\mathbb {C} )} equipped with the operator norm is a C* algebra. So ( L k ) k {\displaystyle \left(\mathbf {L} _{k}\right)_{k}} is a bounded

Matrix exponential (10,407 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

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

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

Perron–Frobenius theorem (8,235 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 (4,731 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

Representation theory of finite groups (21,307 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 C class ( G ) {\displaystyle \mathbb {C} _{\text{class}}(G)}

Oscillator representation (21,523 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 (16,607 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