5 citations · 16 across the 14 of their papers we have counts for
7 papers · 1 filter
Villadsen algebras
Cristian Ivanescu, Dan Kucerovsky
C*-algebras are rings, sometimes nonunital, obeying certain axioms that ensure a very well-behaved representation theory upon Hilbert space. Moreover, there are some well-known fea…
Co-actions, Isometries and isomorphism classes of Hilbert modules
Dan Z. Kucerovsky
We show that a A-linear map of Hilbert A-modules is induced by a unitary Hilbert module operator if and only if it extends to an ordinary unitary on appropriately defined envelopin…
Separating points through inclusions of
Dan Kucerovsky
We define a basis property that an inclusion of C*-algebras may have, and give various conditions for the property to hold. Some applications are consi…
Relative double commutants in coronas of separable C*-algebras
Dan Kucerovsky, Martin Mathieu
We prove a double commutant theorem for separable subalgebras of a wide class of corona C*-algebras, largely resolving a problem posed by Pedersen. Double commutant theorems origin…
Cuntz semigroups of compact-type Hopf C*-algebras
Dan Kucerovsky
The classical Cuntz semigroup has an important role in the study of C*-algebras, being one of the main invariants used to classify recalcitrant C*-algebras up to isomorphism. We co…
The Cuntz semigroup of the tensor product C*-algebras
Cristian Ivanescu, Dan Kucerovsky
We calculate the Cuntz semigroup of the tensor product A with A. We restrict our attention to C*-algebras A which are unital, simple, nuclear, stably finite, have stable rank one,…
Schur Multipliers and Matrix Products
Dan Kucerovsky, Aydin Sarraf
We give necessary and sufficient conditions for a Schur map to be a homomorphism, with some generalizations to the infinite-dimensional case. In the finite-dimensional case, we fin…