Shape theory for $C^*$-algebras.
Copyright policy )Shape theory for $C^*$-algebras.
In this very interesting paper the author introduces a ''non-commutative shape theory'' that is a shape theory for \(C^*\)-algebras which restricts to topological shape theory of Borsuk. His theory applies to some \(C^*\)-algebras which are not covered by a previous paper of Effros and Kaminker. The paper contains also some relations between shape theory and K-theory as, for instance, the proof that standard cohomology and K- theory are shape invariants. Some open problems are proposed.
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510.mathematics, standard cohomology, \(K\)-theory and operator algebras (including cyclic theory), non-commutative shape theory, shape theory for \(C^ *\)-algebras, Shape theory, Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.), K- theory, Article, shape invariants
510.mathematics, standard cohomology, \(K\)-theory and operator algebras (including cyclic theory), non-commutative shape theory, shape theory for \(C^ *\)-algebras, Shape theory, Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.), K- theory, Article, shape invariants
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