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We show that the Cuntz-Krieger algebras of infinite graphs and infinite {0, 1}-matrices can be approximated by those of finite graphs. We then use these approximations to deduce the main uniqueness… (More)

We prove versions of the fundamental theorems about CuntzKrieger algebras for the C∗-algebras of row-finite graphs: directed graphs in which each vertex emits at most finitely many edges. Special… (More)

This paper presents distribution and properties of soils within the Fuglebekken catchment in neighbourhood of the Polish Polar Station in Hornsund, SW Spitsbergen (Svalbard Archipelago). The present… (More)

- Piotr M. Hajac, Rainer Matthes, Wojciech Szymański
- 2005

We introduce and analyse a new type of quantum 2-spheres. Then we apply index theory for noncommutative line bundles over these spheres to conclude that quantum lens spaces are non-crossed-product… (More)

- Iwona Kucharewicz, Anna Bodzenta-Lukaszyk, Wojciech Szymański, Barbara Mroczko, Maciej Szmitkowski
- Journal of investigational allergology & clinical…
- 2007

BACKGROUND
Increased serum tryptase has been linked to the severity of the reaction after Hymenoptera stings. The aim of the study was to measure basal tryptase levels in patients with Hymenoptera… (More)

0. Since their invention about twenty years ago Cuntz-Krieger algebras OA corresponding to finite, square 0–1 matrices [3] have attracted immense interest. It was remarked in their original paper by… (More)

For an arbitrary countable directed graph E we show that the only possible values of the stable rank of the associated Cuntz-Krieger algebra C * (E) are 1, 2 or ∞. Explicit criteria for each of these… (More)

We construct the C∗-algebra C(Lq(p;m1, . . . , mn)) of continuous functions on the quantum lens space as the fixed point algebra for a suitable action of Zp on the algebra C(S2n−1 q ), corresponding… (More)

The irreducible ∗-representations of the polynomial algebra O(S3 pq) of the quantum 3-sphere introduced by Calow and Matthes are classified. The K-groups of its universal C-algebra are shown to… (More)

- Piotr M. Hajac, Rainer Matthes, Wojciech Szymański
- 2003

We define the C∗-algebra of quantum real projective space RP 2 q , classify its irreducible representations and compute its K-theory. We also show that the q-disc of KlimekLesniewski can be obtained… (More)