On the \(C^*\)-algebra of a one-parameter semigroup of isometries
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Publication:2550901
DOI10.1007/BF02392163zbMath0232.46063MaRDI QIDQ2550901
Publication date: 1972
Published in: Acta Mathematica (Search for Journal in Brave)
One-parameter semigroups and linear evolution equations (47D06) Groups and semigroups of linear operators (47D03) General theory of (C^*)-algebras (46L05)
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KMS states on a generalized Toeplitz algebra ⋮ The intertwining lifting theorem for ordered groups. ⋮ Approximation properties of \(C^{\ast}\)-algebras of cancellative semigroups ⋮ Toeplitz algebras of semigroups ⋮ Automorphisms of some subalgebras of the Toeplitz algebra ⋮ Semigroup crossed products and the induced algebras of lattice-ordered groups ⋮ Limit automorphisms of the \(C^\ast\)-algebras generated by isometric representations for semigroups of rationals ⋮ The K-theory and the invertibility of almost periodic Toeplitz operators ⋮ Unnamed Item ⋮ On the classification of commutator ideals ⋮ Crossed products of \(C^*\)-algebras by endomorphisms ⋮ \(C^*\)-algebras generated by commuting isometries ⋮ Category of some subalgebras of the Toeplitz algebra ⋮ Type I Toeplitz algebras ⋮ On isometric representations of the perforated semigroup ⋮ \(C^*\)-algebras generated by cancellative semigroups ⋮ On isometric representations of the semigroup \(\mathbb Z_+\backslash\{ 1\}\) ⋮ Type of some nuclear subalgebras of the Toeplitz algebra generated by inverse subsemigroups of a bicyclic semigroup ⋮ Isometric representations of totally ordered semigroups ⋮ On a semigroup \(C^*\)-algebra for a semidirect product ⋮ Extensions of semigroups by the dihedral groups and semigroup C∗-algebras ⋮ Some simple C*-algebras constructed as crossed products with discrete outer automorphism groups ⋮ Faithful Representations of Crossed Products by Endomorphisms ⋮ A semigroup \(C^*\)-algebra related to the infinite dihedral group ⋮ Boundary quotient C*‐algebras of semigroups ⋮ Amenable quase-lattice ordered groups and true representations ⋮ On the representation of semigroup \(C^\ast\)-algebra as a crossed product ⋮ Semigroup \(C^{*}\)-algebras and amenability of semigroups ⋮ Operator algebras of higher rank numerical semigroups ⋮ Blaschke \(C^\ast\)-algebras ⋮ Inductive sequences of Toeplitz algebras and limit automorphisms ⋮ Inductive systems of \(C^\ast\)-algebras over posets: a survey ⋮ On extensions of semigroups and their applications to Toeplitz algebras ⋮ Nuclearity of semigroup \(C^\ast\)-algebras and the connection to amenability ⋮ On the extension of the Toeplitz algebra ⋮ Zappa-Szép products of semigroups and their \(C^\ast\)-algebras ⋮ Amenability and functoriality of right-LCM semigroup C*-algebras ⋮ Extensions of semigroups and morphisms of semigroup \(C^* \)-algebras ⋮ On a class of \(C^*\)-algebras generated by a countable family of partial isometries ⋮ Discrete product systems and their \(C^*\)-algebras ⋮ Partial representations and partial group algebras ⋮ COMPACTLY-ALIGNED DISCRETE PRODUCT SYSTEMS, AND GENERALIZATIONS OF ${\mathcal O}_\infty$ ⋮ On \(C^{*}\)-algebra of a semigroup of partial isometries ⋮ Index theory and second quantization of boundary value problems ⋮ A semigroup \(C^\ast\)-algebra which is a free Banach module ⋮ On a class of graded ideals of semigroup \(C^\ast\)-algebras ⋮ One class of \(C^*\)-algebras generated by a family of partial isometries and multiplicators ⋮ The Spectra of Random Pseudo-Differential Operators ⋮ Multivariable moment problems ⋮ Toeplitz operators and algebras ⋮ Non-self-adjoint operator algebras in Hilbert space ⋮ The $K$-theory of Toeplitz $C^*$-algebras of right-angled Artin groups ⋮ Crossed Products by Semigroups of Endomorphisms and the Toeplitz Algebras of Ordered Groups ⋮ On inductive limits for systems of \(C^\ast\)-algebras ⋮ Representation and index theory for \(C^*\)-algebras generated by commuting isometries ⋮ \(C^*\)-algebras generated by semigroups ⋮ On graded semigroup \(C^*\)-algebras and Hilbert modules ⋮ Simple \(C^*\)-algebras generated by isometries ⋮ C*-algebras generated by Hankel operators and Toeplitz operators ⋮ On the \(K\)-theory of some \(C^*\)-algebras of Toeplitz and singular integral operators ⋮ Boundary quotients of the right Toeplitz algebra of the affine semigroup over the natural numbers ⋮ Pairs of commuting isometries, I ⋮ Inductive limits for systems of Toeplitz algebras ⋮ Embedding semigroup \(C^\ast\)-algebras into inductive limits ⋮ Invariant ideals in Toeplitz algebras ⋮ Toeplitz operators on flows ⋮ Semigroups of isometries, Toeplitz algebras and twisted crossed products ⋮ Semigroup C∗-Algebras ⋮ On the Toeplitz algebras of right-angled and finite-type Artin groups ⋮ On K-theoretic invariants of semigroup C*-algebras from actions of congruence monoids ⋮ The structure of invariant ideals of some subalgebras of Toeplitz algebra
Cites Work
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- Fredholm theories in von Neumann algebras. I
- \(C^*\)-algebras of operators on a half-space. II: Index theory
- An index theorem for Wiener-Hopf operators on the discrete quarter-plane
- The 𝐶*-algebra generated by an isometry
- TRANSLATION OPERATORS ON THE HALF-LINE
- On the semi-groups of isometries
- On the C ∗ -Algebra of Toeplitz Operators on the Quarter-Plane
- One-parameter semigroups of isometries
- A structure theory for isometric representations of a class of semigroups.
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